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Finding the Fourth Proportional to 12,442.31, 18,663.47 and 3,676.55

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Solution

The fourth proportional to 12,442.31, 18,663.47 and 3,676.55 is: 5,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.31 : 18,663.47 = 3,676.55 : x
  2. Step 2: Convert to fraction form
    12,442.31/18,663.47 = 3,676.55/x
  3. Step 3: Cross multiply
    12,442.31x = 18,663.47 × 3,676.55
  4. Step 4: Simplify right side
    12,442.31x = 68,617,103.40
  5. Step 5: Solve for x
    x = 68,617,103.40/12,442.31
  6. Step 6: Final answer
    x = 5,514.82

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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.