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Finding the Fourth Proportional to 15,757.92, 23,640.40 and 5,897.28

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Solution

The fourth proportional to 15,757.92, 23,640.40 and 5,897.28 is: 8,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.92 : 23,640.40 = 5,897.28 : x
  2. Step 2: Convert to fraction form
    15,757.92/23,640.40 = 5,897.28/x
  3. Step 3: Cross multiply
    15,757.92x = 23,640.40 × 5,897.28
  4. Step 4: Simplify right side
    15,757.92x = 139,414,058.11
  5. Step 5: Solve for x
    x = 139,414,058.11/15,757.92
  6. Step 6: Final answer
    x = 8,847.24

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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.