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Finding the Fourth Proportional to 25,829.92, 38,710.84 and 10,239.04

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Solution

The fourth proportional to 25,829.92, 38,710.84 and 10,239.04 is: 15,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829.92 : 38,710.84 = 10,239.04 : x
  2. Step 2: Convert to fraction form
    25,829.92/38,710.84 = 10,239.04/x
  3. Step 3: Cross multiply
    25,829.92x = 38,710.84 × 10,239.04
  4. Step 4: Simplify right side
    25,829.92x = 396,361,839.19
  5. Step 5: Solve for x
    x = 396,361,839.19/25,829.92
  6. Step 6: Final answer
    x = 15,345.07

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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.