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Finding the Fourth Proportional to 12,386.62, 18,591.17 and 7,715.71

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Solution

The fourth proportional to 12,386.62, 18,591.17 and 7,715.71 is: 11,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.62 : 18,591.17 = 7,715.71 : x
  2. Step 2: Convert to fraction form
    12,386.62/18,591.17 = 7,715.71/x
  3. Step 3: Cross multiply
    12,386.62x = 18,591.17 × 7,715.71
  4. Step 4: Simplify right side
    12,386.62x = 143,443,999.77
  5. Step 5: Solve for x
    x = 143,443,999.77/12,386.62
  6. Step 6: Final answer
    x = 11,580.56

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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.