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Finding the Fourth Proportional to 16,181.80, 24,272.70 and 9,251.44

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Solution

The fourth proportional to 16,181.80, 24,272.70 and 9,251.44 is: 13,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.80 : 24,272.70 = 9,251.44 : x
  2. Step 2: Convert to fraction form
    16,181.80/24,272.70 = 9,251.44/x
  3. Step 3: Cross multiply
    16,181.80x = 24,272.70 × 9,251.44
  4. Step 4: Simplify right side
    16,181.80x = 224,557,332.31
  5. Step 5: Solve for x
    x = 224,557,332.31/16,181.80
  6. Step 6: Final answer
    x = 13,877.16

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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.