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Finding the Fourth Proportional to 22,748.70, 34,042.32 and 13,861.37

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Solution

The fourth proportional to 22,748.70, 34,042.32 and 13,861.37 is: 20,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,748.70 : 34,042.32 = 13,861.37 : x
  2. Step 2: Convert to fraction form
    22,748.70/34,042.32 = 13,861.37/x
  3. Step 3: Cross multiply
    22,748.70x = 34,042.32 × 13,861.37
  4. Step 4: Simplify right side
    22,748.70x = 471,873,193.18
  5. Step 5: Solve for x
    x = 471,873,193.18/22,748.70
  6. Step 6: Final answer
    x = 20,742.86

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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.