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Finding the Fourth Proportional to 14,573.88, 20,112.16 and 8,286.24

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Solution

The fourth proportional to 14,573.88, 20,112.16 and 8,286.24 is: 11,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.88 : 20,112.16 = 8,286.24 : x
  2. Step 2: Convert to fraction form
    14,573.88/20,112.16 = 8,286.24/x
  3. Step 3: Cross multiply
    14,573.88x = 20,112.16 × 8,286.24
  4. Step 4: Simplify right side
    14,573.88x = 166,654,184.68
  5. Step 5: Solve for x
    x = 166,654,184.68/14,573.88
  6. Step 6: Final answer
    x = 11,435.13

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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.