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Finding the Fourth Proportional to 14,593.82, 20,139.50 and 8,542.96

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Solution

The fourth proportional to 14,593.82, 20,139.50 and 8,542.96 is: 11,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.82 : 20,139.50 = 8,542.96 : x
  2. Step 2: Convert to fraction form
    14,593.82/20,139.50 = 8,542.96/x
  3. Step 3: Cross multiply
    14,593.82x = 20,139.50 × 8,542.96
  4. Step 4: Simplify right side
    14,593.82x = 172,050,913.93
  5. Step 5: Solve for x
    x = 172,050,913.93/14,593.82
  6. Step 6: Final answer
    x = 11,789.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.