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Finding the Fourth Proportional to 17,761.25, 24,507.74 and 10,206.12

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Solution

The fourth proportional to 17,761.25, 24,507.74 and 10,206.12 is: 14,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.25 : 24,507.74 = 10,206.12 : x
  2. Step 2: Convert to fraction form
    17,761.25/24,507.74 = 10,206.12/x
  3. Step 3: Cross multiply
    17,761.25x = 24,507.74 × 10,206.12
  4. Step 4: Simplify right side
    17,761.25x = 250,128,884.34
  5. Step 5: Solve for x
    x = 250,128,884.34/17,761.25
  6. Step 6: Final answer
    x = 14,082.84

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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.