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Finding the Fourth Proportional to 12,016.31, 18,024 and 3,251.43

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Solution

The fourth proportional to 12,016.31, 18,024 and 3,251.43 is: 4,877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.31 : 18,024 = 3,251.43 : x
  2. Step 2: Convert to fraction form
    12,016.31/18,024 = 3,251.43/x
  3. Step 3: Cross multiply
    12,016.31x = 18,024 × 3,251.43
  4. Step 4: Simplify right side
    12,016.31x = 58,603,774.32
  5. Step 5: Solve for x
    x = 58,603,774.32/12,016.31
  6. Step 6: Final answer
    x = 4,877.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.