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Finding the Fourth Proportional to 16,049.76, 24,077.33 and 5,519.36

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Solution

The fourth proportional to 16,049.76, 24,077.33 and 5,519.36 is: 8,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.76 : 24,077.33 = 5,519.36 : x
  2. Step 2: Convert to fraction form
    16,049.76/24,077.33 = 5,519.36/x
  3. Step 3: Cross multiply
    16,049.76x = 24,077.33 × 5,519.36
  4. Step 4: Simplify right side
    16,049.76x = 132,891,401.01
  5. Step 5: Solve for x
    x = 132,891,401.01/16,049.76
  6. Step 6: Final answer
    x = 8,279.96

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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.