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Finding the Fourth Proportional to 10,225.74, 15,331.78 and 8,253.80

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Solution

The fourth proportional to 10,225.74, 15,331.78 and 8,253.80 is: 12,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.74 : 15,331.78 = 8,253.80 : x
  2. Step 2: Convert to fraction form
    10,225.74/15,331.78 = 8,253.80/x
  3. Step 3: Cross multiply
    10,225.74x = 15,331.78 × 8,253.80
  4. Step 4: Simplify right side
    10,225.74x = 126,545,436.92
  5. Step 5: Solve for x
    x = 126,545,436.92/10,225.74
  6. Step 6: Final answer
    x = 12,375.18

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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.