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Finding the Fourth Proportional to 12,442.48, 18,648.24 and 8,278.72

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Solution

The fourth proportional to 12,442.48, 18,648.24 and 8,278.72 is: 12,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.48 : 18,648.24 = 8,278.72 : x
  2. Step 2: Convert to fraction form
    12,442.48/18,648.24 = 8,278.72/x
  3. Step 3: Cross multiply
    12,442.48x = 18,648.24 × 8,278.72
  4. Step 4: Simplify right side
    12,442.48x = 154,383,557.45
  5. Step 5: Solve for x
    x = 154,383,557.45/12,442.48
  6. Step 6: Final answer
    x = 12,407.78

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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.