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Finding the Fourth Proportional to 16,503.57, 24,713.10 and 9,099.82

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Solution

The fourth proportional to 16,503.57, 24,713.10 and 9,099.82 is: 13,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.57 : 24,713.10 = 9,099.82 : x
  2. Step 2: Convert to fraction form
    16,503.57/24,713.10 = 9,099.82/x
  3. Step 3: Cross multiply
    16,503.57x = 24,713.10 × 9,099.82
  4. Step 4: Simplify right side
    16,503.57x = 224,884,723.03
  5. Step 5: Solve for x
    x = 224,884,723.03/16,503.57
  6. Step 6: Final answer
    x = 13,626.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.