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Finding the Fourth Proportional to 15,243.84, 22,849.56 and 6,474.24

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Solution

The fourth proportional to 15,243.84, 22,849.56 and 6,474.24 is: 9,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,243.84 : 22,849.56 = 6,474.24 : x
  2. Step 2: Convert to fraction form
    15,243.84/22,849.56 = 6,474.24/x
  3. Step 3: Cross multiply
    15,243.84x = 22,849.56 × 6,474.24
  4. Step 4: Simplify right side
    15,243.84x = 147,933,535.33
  5. Step 5: Solve for x
    x = 147,933,535.33/15,243.84
  6. Step 6: Final answer
    x = 9,704.48

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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.