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Finding the Fourth Proportional to 20,207.88, 27,886.14 and 11,824.20

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Solution

The fourth proportional to 20,207.88, 27,886.14 and 11,824.20 is: 16,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.88 : 27,886.14 = 11,824.20 : x
  2. Step 2: Convert to fraction form
    20,207.88/27,886.14 = 11,824.20/x
  3. Step 3: Cross multiply
    20,207.88x = 27,886.14 × 11,824.20
  4. Step 4: Simplify right side
    20,207.88x = 329,731,296.59
  5. Step 5: Solve for x
    x = 329,731,296.59/20,207.88
  6. Step 6: Final answer
    x = 16,316.97

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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.