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Finding the Fourth Proportional to 22,042.83, 33,035.39 and 10,195.12

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Solution

The fourth proportional to 22,042.83, 33,035.39 and 10,195.12 is: 15,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,042.83 : 33,035.39 = 10,195.12 : x
  2. Step 2: Convert to fraction form
    22,042.83/33,035.39 = 10,195.12/x
  3. Step 3: Cross multiply
    22,042.83x = 33,035.39 × 10,195.12
  4. Step 4: Simplify right side
    22,042.83x = 336,799,665.37
  5. Step 5: Solve for x
    x = 336,799,665.37/22,042.83
  6. Step 6: Final answer
    x = 15,279.33

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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.