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Finding the Fourth Proportional to 20,317.80, 30,437.82 and 13,711.44

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Solution

The fourth proportional to 20,317.80, 30,437.82 and 13,711.44 is: 20,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,317.80 : 30,437.82 = 13,711.44 : x
  2. Step 2: Convert to fraction form
    20,317.80/30,437.82 = 13,711.44/x
  3. Step 3: Cross multiply
    20,317.80x = 30,437.82 × 13,711.44
  4. Step 4: Simplify right side
    20,317.80x = 417,346,342.66
  5. Step 5: Solve for x
    x = 417,346,342.66/20,317.80
  6. Step 6: Final answer
    x = 20,540.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.