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Finding the Fourth Proportional to 22,580, 33,876.48 and 8,732.96

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Solution

The fourth proportional to 22,580, 33,876.48 and 8,732.96 is: 13,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580 : 33,876.48 = 8,732.96 : x
  2. Step 2: Convert to fraction form
    22,580/33,876.48 = 8,732.96/x
  3. Step 3: Cross multiply
    22,580x = 33,876.48 × 8,732.96
  4. Step 4: Simplify right side
    22,580x = 295,841,944.78
  5. Step 5: Solve for x
    x = 295,841,944.78/22,580
  6. Step 6: Final answer
    x = 13,101.95

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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.