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Finding the Fourth Proportional to 27,778.01, 38,333.67 and 15,202.76

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Solution

The fourth proportional to 27,778.01, 38,333.67 and 15,202.76 is: 20,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.01 : 38,333.67 = 15,202.76 : x
  2. Step 2: Convert to fraction form
    27,778.01/38,333.67 = 15,202.76/x
  3. Step 3: Cross multiply
    27,778.01x = 38,333.67 × 15,202.76
  4. Step 4: Simplify right side
    27,778.01x = 582,777,584.93
  5. Step 5: Solve for x
    x = 582,777,584.93/27,778.01
  6. Step 6: Final answer
    x = 20,979.82

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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.