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Finding the Fourth Proportional to 21,791, 32,691.36 and 7,940

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Solution

The fourth proportional to 21,791, 32,691.36 and 7,940 is: 11,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,791 : 32,691.36 = 7,940 : x
  2. Step 2: Convert to fraction form
    21,791/32,691.36 = 7,940/x
  3. Step 3: Cross multiply
    21,791x = 32,691.36 × 7,940
  4. Step 4: Simplify right side
    21,791x = 259,569,398.40
  5. Step 5: Solve for x
    x = 259,569,398.40/21,791
  6. Step 6: Final answer
    x = 11,911.77

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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.