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Finding the Fourth Proportional to 16,010.92, 23,984.18 and 7,981.46

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Solution

The fourth proportional to 16,010.92, 23,984.18 and 7,981.46 is: 11,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,010.92 : 23,984.18 = 7,981.46 : x
  2. Step 2: Convert to fraction form
    16,010.92/23,984.18 = 7,981.46/x
  3. Step 3: Cross multiply
    16,010.92x = 23,984.18 × 7,981.46
  4. Step 4: Simplify right side
    16,010.92x = 191,428,773.30
  5. Step 5: Solve for x
    x = 191,428,773.30/16,010.92
  6. Step 6: Final answer
    x = 11,956.14

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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.