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Finding the Fourth Proportional to 22,733.86, 34,109 and 11,645.78

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Solution

The fourth proportional to 22,733.86, 34,109 and 11,645.78 is: 17,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,733.86 : 34,109 = 11,645.78 : x
  2. Step 2: Convert to fraction form
    22,733.86/34,109 = 11,645.78/x
  3. Step 3: Cross multiply
    22,733.86x = 34,109 × 11,645.78
  4. Step 4: Simplify right side
    22,733.86x = 397,225,910.02
  5. Step 5: Solve for x
    x = 397,225,910.02/22,733.86
  6. Step 6: Final answer
    x = 17,472.88

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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.