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Finding the Fourth Proportional to 15,825.52, 23,752.56 and 8,436.16

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Solution

The fourth proportional to 15,825.52, 23,752.56 and 8,436.16 is: 12,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.52 : 23,752.56 = 8,436.16 : x
  2. Step 2: Convert to fraction form
    15,825.52/23,752.56 = 8,436.16/x
  3. Step 3: Cross multiply
    15,825.52x = 23,752.56 × 8,436.16
  4. Step 4: Simplify right side
    15,825.52x = 200,380,396.57
  5. Step 5: Solve for x
    x = 200,380,396.57/15,825.52
  6. Step 6: Final answer
    x = 12,661.85

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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.