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Finding the Fourth Proportional to 15,441.42, 23,163.18 and 7,648.14

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Solution

The fourth proportional to 15,441.42, 23,163.18 and 7,648.14 is: 11,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,441.42 : 23,163.18 = 7,648.14 : x
  2. Step 2: Convert to fraction form
    15,441.42/23,163.18 = 7,648.14/x
  3. Step 3: Cross multiply
    15,441.42x = 23,163.18 × 7,648.14
  4. Step 4: Simplify right side
    15,441.42x = 177,155,243.49
  5. Step 5: Solve for x
    x = 177,155,243.49/15,441.42
  6. Step 6: Final answer
    x = 11,472.73

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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.