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Finding the Fourth Proportional to 20,702.34, 31,042.50 and 15,169.20

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Solution

The fourth proportional to 20,702.34, 31,042.50 and 15,169.20 is: 22,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.34 : 31,042.50 = 15,169.20 : x
  2. Step 2: Convert to fraction form
    20,702.34/31,042.50 = 15,169.20/x
  3. Step 3: Cross multiply
    20,702.34x = 31,042.50 × 15,169.20
  4. Step 4: Simplify right side
    20,702.34x = 470,889,891
  5. Step 5: Solve for x
    x = 470,889,891/20,702.34
  6. Step 6: Final answer
    x = 22,745.73

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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.