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Finding the Fourth Proportional to 25,699.92, 38,541.24 and 9,059.28

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Solution

The fourth proportional to 25,699.92, 38,541.24 and 9,059.28 is: 13,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,699.92 : 38,541.24 = 9,059.28 : x
  2. Step 2: Convert to fraction form
    25,699.92/38,541.24 = 9,059.28/x
  3. Step 3: Cross multiply
    25,699.92x = 38,541.24 × 9,059.28
  4. Step 4: Simplify right side
    25,699.92x = 349,155,884.71
  5. Step 5: Solve for x
    x = 349,155,884.71/25,699.92
  6. Step 6: Final answer
    x = 13,585.87

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Why These Related Problems?

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