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Finding the Fourth Proportional to 20,882.97, 31,327.41 and 6,093

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Solution

The fourth proportional to 20,882.97, 31,327.41 and 6,093 is: 9,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.97 : 31,327.41 = 6,093 : x
  2. Step 2: Convert to fraction form
    20,882.97/31,327.41 = 6,093/x
  3. Step 3: Cross multiply
    20,882.97x = 31,327.41 × 6,093
  4. Step 4: Simplify right side
    20,882.97x = 190,877,909.13
  5. Step 5: Solve for x
    x = 190,877,909.13/20,882.97
  6. Step 6: Final answer
    x = 9,140.36

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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.