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Finding the Fourth Proportional to 20,781.90, 31,177.08 and 7,634.34

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Solution

The fourth proportional to 20,781.90, 31,177.08 and 7,634.34 is: 11,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.90 : 31,177.08 = 7,634.34 : x
  2. Step 2: Convert to fraction form
    20,781.90/31,177.08 = 7,634.34/x
  3. Step 3: Cross multiply
    20,781.90x = 31,177.08 × 7,634.34
  4. Step 4: Simplify right side
    20,781.90x = 238,016,428.93
  5. Step 5: Solve for x
    x = 238,016,428.93/20,781.90
  6. Step 6: Final answer
    x = 11,453.06

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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.