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Finding the Fourth Proportional to 12,275.38, 18,411.17 and 6,731.46

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Solution

The fourth proportional to 12,275.38, 18,411.17 and 6,731.46 is: 10,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.38 : 18,411.17 = 6,731.46 : x
  2. Step 2: Convert to fraction form
    12,275.38/18,411.17 = 6,731.46/x
  3. Step 3: Cross multiply
    12,275.38x = 18,411.17 × 6,731.46
  4. Step 4: Simplify right side
    12,275.38x = 123,934,054.41
  5. Step 5: Solve for x
    x = 123,934,054.41/12,275.38
  6. Step 6: Final answer
    x = 10,096.15

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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.