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Finding the Fourth Proportional to 13,613.91, 20,406.45 and 7,757.97

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Solution

The fourth proportional to 13,613.91, 20,406.45 and 7,757.97 is: 11,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.91 : 20,406.45 = 7,757.97 : x
  2. Step 2: Convert to fraction form
    13,613.91/20,406.45 = 7,757.97/x
  3. Step 3: Cross multiply
    13,613.91x = 20,406.45 × 7,757.97
  4. Step 4: Simplify right side
    13,613.91x = 158,312,626.91
  5. Step 5: Solve for x
    x = 158,312,626.91/13,613.91
  6. Step 6: Final answer
    x = 11,628.74

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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.