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Finding the Fourth Proportional to 18,189.97, 25,102.06 and 10,232.25

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Solution

The fourth proportional to 18,189.97, 25,102.06 and 10,232.25 is: 14,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,189.97 : 25,102.06 = 10,232.25 : x
  2. Step 2: Convert to fraction form
    18,189.97/25,102.06 = 10,232.25/x
  3. Step 3: Cross multiply
    18,189.97x = 25,102.06 × 10,232.25
  4. Step 4: Simplify right side
    18,189.97x = 256,850,533.10
  5. Step 5: Solve for x
    x = 256,850,533.10/18,189.97
  6. Step 6: Final answer
    x = 14,120.45

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.