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Finding the Fourth Proportional to 13,544.16, 18,691.83 and 7,576.86

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Solution

The fourth proportional to 13,544.16, 18,691.83 and 7,576.86 is: 10,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.16 : 18,691.83 = 7,576.86 : x
  2. Step 2: Convert to fraction form
    13,544.16/18,691.83 = 7,576.86/x
  3. Step 3: Cross multiply
    13,544.16x = 18,691.83 × 7,576.86
  4. Step 4: Simplify right side
    13,544.16x = 141,625,379.05
  5. Step 5: Solve for x
    x = 141,625,379.05/13,544.16
  6. Step 6: Final answer
    x = 10,456.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.