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Finding the Fourth Proportional to 25,702.27, 38,553.45 and 7,234.27

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Solution

The fourth proportional to 25,702.27, 38,553.45 and 7,234.27 is: 10,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.27 : 38,553.45 = 7,234.27 : x
  2. Step 2: Convert to fraction form
    25,702.27/38,553.45 = 7,234.27/x
  3. Step 3: Cross multiply
    25,702.27x = 38,553.45 × 7,234.27
  4. Step 4: Simplify right side
    25,702.27x = 278,906,030.56
  5. Step 5: Solve for x
    x = 278,906,030.56/25,702.27
  6. Step 6: Final answer
    x = 10,851.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.