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Finding the Fourth Proportional to 25,861.92, 38,812.40 and 10,280.80

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Solution

The fourth proportional to 25,861.92, 38,812.40 and 10,280.80 is: 15,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,861.92 : 38,812.40 = 10,280.80 : x
  2. Step 2: Convert to fraction form
    25,861.92/38,812.40 = 10,280.80/x
  3. Step 3: Cross multiply
    25,861.92x = 38,812.40 × 10,280.80
  4. Step 4: Simplify right side
    25,861.92x = 399,022,521.92
  5. Step 5: Solve for x
    x = 399,022,521.92/25,861.92
  6. Step 6: Final answer
    x = 15,428.96

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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.