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Finding the Fourth Proportional to 20,797.71, 31,193.15 and 7,467.95

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Solution

The fourth proportional to 20,797.71, 31,193.15 and 7,467.95 is: 11,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.71 : 31,193.15 = 7,467.95 : x
  2. Step 2: Convert to fraction form
    20,797.71/31,193.15 = 7,467.95/x
  3. Step 3: Cross multiply
    20,797.71x = 31,193.15 × 7,467.95
  4. Step 4: Simplify right side
    20,797.71x = 232,948,691.24
  5. Step 5: Solve for x
    x = 232,948,691.24/20,797.71
  6. Step 6: Final answer
    x = 11,200.69

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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.