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Finding the Fourth Proportional to 25,812.71, 38,715.41 and 8,280.26

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Solution

The fourth proportional to 25,812.71, 38,715.41 and 8,280.26 is: 12,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812.71 : 38,715.41 = 8,280.26 : x
  2. Step 2: Convert to fraction form
    25,812.71/38,715.41 = 8,280.26/x
  3. Step 3: Cross multiply
    25,812.71x = 38,715.41 × 8,280.26
  4. Step 4: Simplify right side
    25,812.71x = 320,573,425.83
  5. Step 5: Solve for x
    x = 320,573,425.83/25,812.71
  6. Step 6: Final answer
    x = 12,419.21

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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.