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Finding the Fourth Proportional to 14,614.69, 20,167.05 and 8,240.92

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Solution

The fourth proportional to 14,614.69, 20,167.05 and 8,240.92 is: 11,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.69 : 20,167.05 = 8,240.92 : x
  2. Step 2: Convert to fraction form
    14,614.69/20,167.05 = 8,240.92/x
  3. Step 3: Cross multiply
    14,614.69x = 20,167.05 × 8,240.92
  4. Step 4: Simplify right side
    14,614.69x = 166,195,045.69
  5. Step 5: Solve for x
    x = 166,195,045.69/14,614.69
  6. Step 6: Final answer
    x = 11,371.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.