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Finding the Fourth Proportional to 27,809.70, 38,377.50 and 15,234.44

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Solution

The fourth proportional to 27,809.70, 38,377.50 and 15,234.44 is: 21,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.70 : 38,377.50 = 15,234.44 : x
  2. Step 2: Convert to fraction form
    27,809.70/38,377.50 = 15,234.44/x
  3. Step 3: Cross multiply
    27,809.70x = 38,377.50 × 15,234.44
  4. Step 4: Simplify right side
    27,809.70x = 584,659,721.10
  5. Step 5: Solve for x
    x = 584,659,721.10/27,809.70
  6. Step 6: Final answer
    x = 21,023.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.