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Finding the Fourth Proportional to 14,542.38, 20,067.94 and 8,886.59

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Solution

The fourth proportional to 14,542.38, 20,067.94 and 8,886.59 is: 12,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.38 : 20,067.94 = 8,886.59 : x
  2. Step 2: Convert to fraction form
    14,542.38/20,067.94 = 8,886.59/x
  3. Step 3: Cross multiply
    14,542.38x = 20,067.94 × 8,886.59
  4. Step 4: Simplify right side
    14,542.38x = 178,335,432.37
  5. Step 5: Solve for x
    x = 178,335,432.37/14,542.38
  6. Step 6: Final answer
    x = 12,263.15

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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.