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Finding the Fourth Proportional to 14,737.13, 22,082.57 and 5,847.65

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Solution

The fourth proportional to 14,737.13, 22,082.57 and 5,847.65 is: 8,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.13 : 22,082.57 = 5,847.65 : x
  2. Step 2: Convert to fraction form
    14,737.13/22,082.57 = 5,847.65/x
  3. Step 3: Cross multiply
    14,737.13x = 22,082.57 × 5,847.65
  4. Step 4: Simplify right side
    14,737.13x = 129,131,022.74
  5. Step 5: Solve for x
    x = 129,131,022.74/14,737.13
  6. Step 6: Final answer
    x = 8,762.29

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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.