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Finding the Fourth Proportional to 14,737.53, 22,086.57 and 7,229.61

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Solution

The fourth proportional to 14,737.53, 22,086.57 and 7,229.61 is: 10,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.53 : 22,086.57 = 7,229.61 : x
  2. Step 2: Convert to fraction form
    14,737.53/22,086.57 = 7,229.61/x
  3. Step 3: Cross multiply
    14,737.53x = 22,086.57 × 7,229.61
  4. Step 4: Simplify right side
    14,737.53x = 159,677,287.34
  5. Step 5: Solve for x
    x = 159,677,287.34/14,737.53
  6. Step 6: Final answer
    x = 10,834.74

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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.