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Finding the Fourth Proportional to 20,205.66, 27,883.82 and 11,254.88

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Solution

The fourth proportional to 20,205.66, 27,883.82 and 11,254.88 is: 15,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.66 : 27,883.82 = 11,254.88 : x
  2. Step 2: Convert to fraction form
    20,205.66/27,883.82 = 11,254.88/x
  3. Step 3: Cross multiply
    20,205.66x = 27,883.82 × 11,254.88
  4. Step 4: Simplify right side
    20,205.66x = 313,829,048.04
  5. Step 5: Solve for x
    x = 313,829,048.04/20,205.66
  6. Step 6: Final answer
    x = 15,531.74

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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.