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Finding the Fourth Proportional to 25,792.75, 38,689.17 and 7,324.75

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Solution

The fourth proportional to 25,792.75, 38,689.17 and 7,324.75 is: 10,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.75 : 38,689.17 = 7,324.75 : x
  2. Step 2: Convert to fraction form
    25,792.75/38,689.17 = 7,324.75/x
  3. Step 3: Cross multiply
    25,792.75x = 38,689.17 × 7,324.75
  4. Step 4: Simplify right side
    25,792.75x = 283,388,497.96
  5. Step 5: Solve for x
    x = 283,388,497.96/25,792.75
  6. Step 6: Final answer
    x = 10,987.14

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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.