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Finding the Fourth Proportional to 22,309.11, 33,456.84 and 7,514.06

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Solution

The fourth proportional to 22,309.11, 33,456.84 and 7,514.06 is: 11,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.11 : 33,456.84 = 7,514.06 : x
  2. Step 2: Convert to fraction form
    22,309.11/33,456.84 = 7,514.06/x
  3. Step 3: Cross multiply
    22,309.11x = 33,456.84 × 7,514.06
  4. Step 4: Simplify right side
    22,309.11x = 251,396,703.17
  5. Step 5: Solve for x
    x = 251,396,703.17/22,309.11
  6. Step 6: Final answer
    x = 11,268.79

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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.