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Finding the Fourth Proportional to 14,614.50, 20,168.47 and 8,327.28

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Solution

The fourth proportional to 14,614.50, 20,168.47 and 8,327.28 is: 11,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.50 : 20,168.47 = 8,327.28 : x
  2. Step 2: Convert to fraction form
    14,614.50/20,168.47 = 8,327.28/x
  3. Step 3: Cross multiply
    14,614.50x = 20,168.47 × 8,327.28
  4. Step 4: Simplify right side
    14,614.50x = 167,948,496.86
  5. Step 5: Solve for x
    x = 167,948,496.86/14,614.50
  6. Step 6: Final answer
    x = 11,491.91

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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.