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Finding the Fourth Proportional to 17,101.92, 23,602.68 and 10,388.64

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Solution

The fourth proportional to 17,101.92, 23,602.68 and 10,388.64 is: 14,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.92 : 23,602.68 = 10,388.64 : x
  2. Step 2: Convert to fraction form
    17,101.92/23,602.68 = 10,388.64/x
  3. Step 3: Cross multiply
    17,101.92x = 23,602.68 × 10,388.64
  4. Step 4: Simplify right side
    17,101.92x = 245,199,745.56
  5. Step 5: Solve for x
    x = 245,199,745.56/17,101.92
  6. Step 6: Final answer
    x = 14,337.56

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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.