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Finding the Fourth Proportional to 12,584.72, 17,361.92 and 7,549.04

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Solution

The fourth proportional to 12,584.72, 17,361.92 and 7,549.04 is: 10,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.72 : 17,361.92 = 7,549.04 : x
  2. Step 2: Convert to fraction form
    12,584.72/17,361.92 = 7,549.04/x
  3. Step 3: Cross multiply
    12,584.72x = 17,361.92 × 7,549.04
  4. Step 4: Simplify right side
    12,584.72x = 131,065,828.56
  5. Step 5: Solve for x
    x = 131,065,828.56/12,584.72
  6. Step 6: Final answer
    x = 10,414.68

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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.