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Finding the Fourth Proportional to 20,277.78, 27,980.13 and 11,324.85

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Solution

The fourth proportional to 20,277.78, 27,980.13 and 11,324.85 is: 15,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277.78 : 27,980.13 = 11,324.85 : x
  2. Step 2: Convert to fraction form
    20,277.78/27,980.13 = 11,324.85/x
  3. Step 3: Cross multiply
    20,277.78x = 27,980.13 × 11,324.85
  4. Step 4: Simplify right side
    20,277.78x = 316,870,775.23
  5. Step 5: Solve for x
    x = 316,870,775.23/20,277.78
  6. Step 6: Final answer
    x = 15,626.50

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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.