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Finding the Fourth Proportional to 20,211.76, 27,886.44 and 11,713.24

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Solution

The fourth proportional to 20,211.76, 27,886.44 and 11,713.24 is: 16,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.76 : 27,886.44 = 11,713.24 : x
  2. Step 2: Convert to fraction form
    20,211.76/27,886.44 = 11,713.24/x
  3. Step 3: Cross multiply
    20,211.76x = 27,886.44 × 11,713.24
  4. Step 4: Simplify right side
    20,211.76x = 326,640,564.47
  5. Step 5: Solve for x
    x = 326,640,564.47/20,211.76
  6. Step 6: Final answer
    x = 16,160.92

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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.