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Finding the Fourth Proportional to 16,132.77, 24,199.16 and 5,049.24

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Solution

The fourth proportional to 16,132.77, 24,199.16 and 5,049.24 is: 7,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,132.77 : 24,199.16 = 5,049.24 : x
  2. Step 2: Convert to fraction form
    16,132.77/24,199.16 = 5,049.24/x
  3. Step 3: Cross multiply
    16,132.77x = 24,199.16 × 5,049.24
  4. Step 4: Simplify right side
    16,132.77x = 122,187,250.65
  5. Step 5: Solve for x
    x = 122,187,250.65/16,132.77
  6. Step 6: Final answer
    x = 7,573.85

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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.