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Finding the Fourth Proportional to 25,757.47, 35,532.75 and 16,209.19

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Solution

The fourth proportional to 25,757.47, 35,532.75 and 16,209.19 is: 22,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,757.47 : 35,532.75 = 16,209.19 : x
  2. Step 2: Convert to fraction form
    25,757.47/35,532.75 = 16,209.19/x
  3. Step 3: Cross multiply
    25,757.47x = 35,532.75 × 16,209.19
  4. Step 4: Simplify right side
    25,757.47x = 575,957,095.97
  5. Step 5: Solve for x
    x = 575,957,095.97/25,757.47
  6. Step 6: Final answer
    x = 22,360.78

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