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Finding the Fourth Proportional to 16,443.50, 24,665.54 and 5,350.14

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Solution

The fourth proportional to 16,443.50, 24,665.54 and 5,350.14 is: 8,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.50 : 24,665.54 = 5,350.14 : x
  2. Step 2: Convert to fraction form
    16,443.50/24,665.54 = 5,350.14/x
  3. Step 3: Cross multiply
    16,443.50x = 24,665.54 × 5,350.14
  4. Step 4: Simplify right side
    16,443.50x = 131,964,105.55
  5. Step 5: Solve for x
    x = 131,964,105.55/16,443.50
  6. Step 6: Final answer
    x = 8,025.31

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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.