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Finding the Fourth Proportional to 13,211.76, 18,231.48 and 7,242.24

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Solution

The fourth proportional to 13,211.76, 18,231.48 and 7,242.24 is: 9,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.76 : 18,231.48 = 7,242.24 : x
  2. Step 2: Convert to fraction form
    13,211.76/18,231.48 = 7,242.24/x
  3. Step 3: Cross multiply
    13,211.76x = 18,231.48 × 7,242.24
  4. Step 4: Simplify right side
    13,211.76x = 132,036,753.72
  5. Step 5: Solve for x
    x = 132,036,753.72/13,211.76
  6. Step 6: Final answer
    x = 9,993.88

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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.