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Finding the Fourth Proportional to 16,255.38, 22,432.86 and 9,964.14

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Solution

The fourth proportional to 16,255.38, 22,432.86 and 9,964.14 is: 13,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.38 : 22,432.86 = 9,964.14 : x
  2. Step 2: Convert to fraction form
    16,255.38/22,432.86 = 9,964.14/x
  3. Step 3: Cross multiply
    16,255.38x = 22,432.86 × 9,964.14
  4. Step 4: Simplify right side
    16,255.38x = 223,524,157.64
  5. Step 5: Solve for x
    x = 223,524,157.64/16,255.38
  6. Step 6: Final answer
    x = 13,750.78

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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.