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Finding the Fourth Proportional to 25,702.52, 38,553.82 and 7,234.52

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Solution

The fourth proportional to 25,702.52, 38,553.82 and 7,234.52 is: 10,851.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.52 : 38,553.82 = 7,234.52 : x
  2. Step 2: Convert to fraction form
    25,702.52/38,553.82 = 7,234.52/x
  3. Step 3: Cross multiply
    25,702.52x = 38,553.82 × 7,234.52
  4. Step 4: Simplify right side
    25,702.52x = 278,918,381.87
  5. Step 5: Solve for x
    x = 278,918,381.87/25,702.52
  6. Step 6: Final answer
    x = 10,851.79

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Why These Related Problems?

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