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Finding the Fourth Proportional to 13,537.91, 20,306.87 and 5,741.66

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Solution

The fourth proportional to 13,537.91, 20,306.87 and 5,741.66 is: 8,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.91 : 20,306.87 = 5,741.66 : x
  2. Step 2: Convert to fraction form
    13,537.91/20,306.87 = 5,741.66/x
  3. Step 3: Cross multiply
    13,537.91x = 20,306.87 × 5,741.66
  4. Step 4: Simplify right side
    13,537.91x = 116,595,012.96
  5. Step 5: Solve for x
    x = 116,595,012.96/13,537.91
  6. Step 6: Final answer
    x = 8,612.49

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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.