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Finding the Fourth Proportional to 12,251.82, 18,382.06 and 4,461.42

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Solution

The fourth proportional to 12,251.82, 18,382.06 and 4,461.42 is: 6,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.82 : 18,382.06 = 4,461.42 : x
  2. Step 2: Convert to fraction form
    12,251.82/18,382.06 = 4,461.42/x
  3. Step 3: Cross multiply
    12,251.82x = 18,382.06 × 4,461.42
  4. Step 4: Simplify right side
    12,251.82x = 82,010,090.13
  5. Step 5: Solve for x
    x = 82,010,090.13/12,251.82
  6. Step 6: Final answer
    x = 6,693.71

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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.