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Finding the Fourth Proportional to 17,827.25, 24,604.20 and 10,272.12

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Solution

The fourth proportional to 17,827.25, 24,604.20 and 10,272.12 is: 14,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.25 : 24,604.20 = 10,272.12 : x
  2. Step 2: Convert to fraction form
    17,827.25/24,604.20 = 10,272.12/x
  3. Step 3: Cross multiply
    17,827.25x = 24,604.20 × 10,272.12
  4. Step 4: Simplify right side
    17,827.25x = 252,737,294.90
  5. Step 5: Solve for x
    x = 252,737,294.90/17,827.25
  6. Step 6: Final answer
    x = 14,177.02

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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.