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Finding the Fourth Proportional to 24,478, 33,779.64 and 14,542

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Solution

The fourth proportional to 24,478, 33,779.64 and 14,542 is: 20,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478 : 33,779.64 = 14,542 : x
  2. Step 2: Convert to fraction form
    24,478/33,779.64 = 14,542/x
  3. Step 3: Cross multiply
    24,478x = 33,779.64 × 14,542
  4. Step 4: Simplify right side
    24,478x = 491,223,524.88
  5. Step 5: Solve for x
    x = 491,223,524.88/24,478
  6. Step 6: Final answer
    x = 20,067.96

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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.