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Finding the Fourth Proportional to 15,832.26, 23,754.67 and 5,974.16

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Solution

The fourth proportional to 15,832.26, 23,754.67 and 5,974.16 is: 8,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.26 : 23,754.67 = 5,974.16 : x
  2. Step 2: Convert to fraction form
    15,832.26/23,754.67 = 5,974.16/x
  3. Step 3: Cross multiply
    15,832.26x = 23,754.67 × 5,974.16
  4. Step 4: Simplify right side
    15,832.26x = 141,914,065.62
  5. Step 5: Solve for x
    x = 141,914,065.62/15,832.26
  6. Step 6: Final answer
    x = 8,963.60

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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.