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Finding the Fourth Proportional to 38,442.26, 57,663.05 and 12,147

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Solution

The fourth proportional to 38,442.26, 57,663.05 and 12,147 is: 18,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.26 : 57,663.05 = 12,147 : x
  2. Step 2: Convert to fraction form
    38,442.26/57,663.05 = 12,147/x
  3. Step 3: Cross multiply
    38,442.26x = 57,663.05 × 12,147
  4. Step 4: Simplify right side
    38,442.26x = 700,433,068.35
  5. Step 5: Solve for x
    x = 700,433,068.35/38,442.26
  6. Step 6: Final answer
    x = 18,220.39

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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.