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Finding the Fourth Proportional to 14,573.89, 20,112.15 and 8,286.25

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Solution

The fourth proportional to 14,573.89, 20,112.15 and 8,286.25 is: 11,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.89 : 20,112.15 = 8,286.25 : x
  2. Step 2: Convert to fraction form
    14,573.89/20,112.15 = 8,286.25/x
  3. Step 3: Cross multiply
    14,573.89x = 20,112.15 × 8,286.25
  4. Step 4: Simplify right side
    14,573.89x = 166,654,302.94
  5. Step 5: Solve for x
    x = 166,654,302.94/14,573.89
  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.