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Finding the Fourth Proportional to 16,234.24, 22,400.40 and 9,948.64

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Solution

The fourth proportional to 16,234.24, 22,400.40 and 9,948.64 is: 13,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.24 : 22,400.40 = 9,948.64 : x
  2. Step 2: Convert to fraction form
    16,234.24/22,400.40 = 9,948.64/x
  3. Step 3: Cross multiply
    16,234.24x = 22,400.40 × 9,948.64
  4. Step 4: Simplify right side
    16,234.24x = 222,853,515.46
  5. Step 5: Solve for x
    x = 222,853,515.46/16,234.24
  6. Step 6: Final answer
    x = 13,727.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.