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Finding the Fourth Proportional to 16,641.38, 22,964.72 and 9,087.42

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Solution

The fourth proportional to 16,641.38, 22,964.72 and 9,087.42 is: 12,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641.38 : 22,964.72 = 9,087.42 : x
  2. Step 2: Convert to fraction form
    16,641.38/22,964.72 = 9,087.42/x
  3. Step 3: Cross multiply
    16,641.38x = 22,964.72 × 9,087.42
  4. Step 4: Simplify right side
    16,641.38x = 208,690,055.82
  5. Step 5: Solve for x
    x = 208,690,055.82/16,641.38
  6. Step 6: Final answer
    x = 12,540.43

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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.