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Finding the Fourth Proportional to 13,758.71, 20,634 and 5,861.13

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Solution

The fourth proportional to 13,758.71, 20,634 and 5,861.13 is: 8,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.71 : 20,634 = 5,861.13 : x
  2. Step 2: Convert to fraction form
    13,758.71/20,634 = 5,861.13/x
  3. Step 3: Cross multiply
    13,758.71x = 20,634 × 5,861.13
  4. Step 4: Simplify right side
    13,758.71x = 120,938,556.42
  5. Step 5: Solve for x
    x = 120,938,556.42/13,758.71
  6. Step 6: Final answer
    x = 8,789.97

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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.