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Finding the Fourth Proportional to 13,211.74, 18,229.89 and 7,543.90

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Solution

The fourth proportional to 13,211.74, 18,229.89 and 7,543.90 is: 10,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.74 : 18,229.89 = 7,543.90 : x
  2. Step 2: Convert to fraction form
    13,211.74/18,229.89 = 7,543.90/x
  3. Step 3: Cross multiply
    13,211.74x = 18,229.89 × 7,543.90
  4. Step 4: Simplify right side
    13,211.74x = 137,524,467.17
  5. Step 5: Solve for x
    x = 137,524,467.17/13,211.74
  6. Step 6: Final answer
    x = 10,409.26

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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.