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Finding the Fourth Proportional to 26,200.71, 39,320.10 and 19,644.57

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Solution

The fourth proportional to 26,200.71, 39,320.10 and 19,644.57 is: 29,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200.71 : 39,320.10 = 19,644.57 : x
  2. Step 2: Convert to fraction form
    26,200.71/39,320.10 = 19,644.57/x
  3. Step 3: Cross multiply
    26,200.71x = 39,320.10 × 19,644.57
  4. Step 4: Simplify right side
    26,200.71x = 772,426,456.86
  5. Step 5: Solve for x
    x = 772,426,456.86/26,200.71
  6. Step 6: Final answer
    x = 29,481.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.