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Finding the Fourth Proportional to 27,778.54, 38,352.28 and 24,789.24

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Solution

The fourth proportional to 27,778.54, 38,352.28 and 24,789.24 is: 34,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.54 : 38,352.28 = 24,789.24 : x
  2. Step 2: Convert to fraction form
    27,778.54/38,352.28 = 24,789.24/x
  3. Step 3: Cross multiply
    27,778.54x = 38,352.28 × 24,789.24
  4. Step 4: Simplify right side
    27,778.54x = 950,723,873.47
  5. Step 5: Solve for x
    x = 950,723,873.47/27,778.54
  6. Step 6: Final answer
    x = 34,225.12

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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.