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Finding the Fourth Proportional to 16,268.38, 24,406 and 9,251.76

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Solution

The fourth proportional to 16,268.38, 24,406 and 9,251.76 is: 13,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.38 : 24,406 = 9,251.76 : x
  2. Step 2: Convert to fraction form
    16,268.38/24,406 = 9,251.76/x
  3. Step 3: Cross multiply
    16,268.38x = 24,406 × 9,251.76
  4. Step 4: Simplify right side
    16,268.38x = 225,798,454.56
  5. Step 5: Solve for x
    x = 225,798,454.56/16,268.38
  6. Step 6: Final answer
    x = 13,879.59

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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.