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Finding the Fourth Proportional to 21,972.20, 32,938.86 and 8,105

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Solution

The fourth proportional to 21,972.20, 32,938.86 and 8,105 is: 12,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972.20 : 32,938.86 = 8,105 : x
  2. Step 2: Convert to fraction form
    21,972.20/32,938.86 = 8,105/x
  3. Step 3: Cross multiply
    21,972.20x = 32,938.86 × 8,105
  4. Step 4: Simplify right side
    21,972.20x = 266,969,460.30
  5. Step 5: Solve for x
    x = 266,969,460.30/21,972.20
  6. Step 6: Final answer
    x = 12,150.33

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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.