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Finding the Fourth Proportional to 16,702.32, 23,049.56 and 9,251.44

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Solution

The fourth proportional to 16,702.32, 23,049.56 and 9,251.44 is: 12,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.32 : 23,049.56 = 9,251.44 : x
  2. Step 2: Convert to fraction form
    16,702.32/23,049.56 = 9,251.44/x
  3. Step 3: Cross multiply
    16,702.32x = 23,049.56 × 9,251.44
  4. Step 4: Simplify right side
    16,702.32x = 213,241,621.37
  5. Step 5: Solve for x
    x = 213,241,621.37/16,702.32
  6. Step 6: Final answer
    x = 12,767.19

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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.