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Finding the Fourth Proportional to 25,792.43, 38,683.17 and 8,257.55

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Solution

The fourth proportional to 25,792.43, 38,683.17 and 8,257.55 is: 12,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.43 : 38,683.17 = 8,257.55 : x
  2. Step 2: Convert to fraction form
    25,792.43/38,683.17 = 8,257.55/x
  3. Step 3: Cross multiply
    25,792.43x = 38,683.17 × 8,257.55
  4. Step 4: Simplify right side
    25,792.43x = 319,428,017.02
  5. Step 5: Solve for x
    x = 319,428,017.02/25,792.43
  6. Step 6: Final answer
    x = 12,384.57

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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.