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Finding the Fourth Proportional to 20,078.69, 27,708.17 and 11,126.16

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Solution

The fourth proportional to 20,078.69, 27,708.17 and 11,126.16 is: 15,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.69 : 27,708.17 = 11,126.16 : x
  2. Step 2: Convert to fraction form
    20,078.69/27,708.17 = 11,126.16/x
  3. Step 3: Cross multiply
    20,078.69x = 27,708.17 × 11,126.16
  4. Step 4: Simplify right side
    20,078.69x = 308,285,477.10
  5. Step 5: Solve for x
    x = 308,285,477.10/20,078.69
  6. Step 6: Final answer
    x = 15,353.87

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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.