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Finding the Fourth Proportional to 20,886.86, 31,301.85 and 11,512.82

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Solution

The fourth proportional to 20,886.86, 31,301.85 and 11,512.82 is: 17,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.86 : 31,301.85 = 11,512.82 : x
  2. Step 2: Convert to fraction form
    20,886.86/31,301.85 = 11,512.82/x
  3. Step 3: Cross multiply
    20,886.86x = 31,301.85 × 11,512.82
  4. Step 4: Simplify right side
    20,886.86x = 360,372,642.97
  5. Step 5: Solve for x
    x = 360,372,642.97/20,886.86
  6. Step 6: Final answer
    x = 17,253.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.