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Finding the Fourth Proportional to 15,208.38, 22,853.07 and 8,193.78

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Solution

The fourth proportional to 15,208.38, 22,853.07 and 8,193.78 is: 12,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,208.38 : 22,853.07 = 8,193.78 : x
  2. Step 2: Convert to fraction form
    15,208.38/22,853.07 = 8,193.78/x
  3. Step 3: Cross multiply
    15,208.38x = 22,853.07 × 8,193.78
  4. Step 4: Simplify right side
    15,208.38x = 187,253,027.90
  5. Step 5: Solve for x
    x = 187,253,027.90/15,208.38
  6. Step 6: Final answer
    x = 12,312.49

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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.