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Finding the Fourth Proportional to 23,141.68, 34,708.14 and 11,283.56

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Solution

The fourth proportional to 23,141.68, 34,708.14 and 11,283.56 is: 16,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.68 : 34,708.14 = 11,283.56 : x
  2. Step 2: Convert to fraction form
    23,141.68/34,708.14 = 11,283.56/x
  3. Step 3: Cross multiply
    23,141.68x = 34,708.14 × 11,283.56
  4. Step 4: Simplify right side
    23,141.68x = 391,631,380.18
  5. Step 5: Solve for x
    x = 391,631,380.18/23,141.68
  6. Step 6: Final answer
    x = 16,923.20

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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.