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Finding the Fourth Proportional to 23,134.28, 34,701.71 and 8,141.85

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Solution

The fourth proportional to 23,134.28, 34,701.71 and 8,141.85 is: 12,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.28 : 34,701.71 = 8,141.85 : x
  2. Step 2: Convert to fraction form
    23,134.28/34,701.71 = 8,141.85/x
  3. Step 3: Cross multiply
    23,134.28x = 34,701.71 × 8,141.85
  4. Step 4: Simplify right side
    23,134.28x = 282,536,117.56
  5. Step 5: Solve for x
    x = 282,536,117.56/23,134.28
  6. Step 6: Final answer
    x = 12,212.88

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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.