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Finding the Fourth Proportional to 21,101.73, 31,657.14 and 6,311.85

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Solution

The fourth proportional to 21,101.73, 31,657.14 and 6,311.85 is: 9,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.73 : 31,657.14 = 6,311.85 : x
  2. Step 2: Convert to fraction form
    21,101.73/31,657.14 = 6,311.85/x
  3. Step 3: Cross multiply
    21,101.73x = 31,657.14 × 6,311.85
  4. Step 4: Simplify right side
    21,101.73x = 199,815,119.11
  5. Step 5: Solve for x
    x = 199,815,119.11/21,101.73
  6. Step 6: Final answer
    x = 9,469.13

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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.