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Finding the Fourth Proportional to 15,382.52, 23,092.06 and 12,947.64

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Solution

The fourth proportional to 15,382.52, 23,092.06 and 12,947.64 is: 19,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.52 : 23,092.06 = 12,947.64 : x
  2. Step 2: Convert to fraction form
    15,382.52/23,092.06 = 12,947.64/x
  3. Step 3: Cross multiply
    15,382.52x = 23,092.06 × 12,947.64
  4. Step 4: Simplify right side
    15,382.52x = 298,987,679.74
  5. Step 5: Solve for x
    x = 298,987,679.74/15,382.52
  6. Step 6: Final answer
    x = 19,436.85

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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.