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Finding the Fourth Proportional to 14,737.27, 20,337.42 and 8,022.90

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Solution

The fourth proportional to 14,737.27, 20,337.42 and 8,022.90 is: 11,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.27 : 20,337.42 = 8,022.90 : x
  2. Step 2: Convert to fraction form
    14,737.27/20,337.42 = 8,022.90/x
  3. Step 3: Cross multiply
    14,737.27x = 20,337.42 × 8,022.90
  4. Step 4: Simplify right side
    14,737.27x = 163,165,086.92
  5. Step 5: Solve for x
    x = 163,165,086.92/14,737.27
  6. Step 6: Final answer
    x = 11,071.60

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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.