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Finding the Fourth Proportional to 22,115.76, 33,109.69 and 19,834.09

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Solution

The fourth proportional to 22,115.76, 33,109.69 and 19,834.09 is: 29,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,115.76 : 33,109.69 = 19,834.09 : x
  2. Step 2: Convert to fraction form
    22,115.76/33,109.69 = 19,834.09/x
  3. Step 3: Cross multiply
    22,115.76x = 33,109.69 × 19,834.09
  4. Step 4: Simplify right side
    22,115.76x = 656,700,513.50
  5. Step 5: Solve for x
    x = 656,700,513.50/22,115.76
  6. Step 6: Final answer
    x = 29,693.78

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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.