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Finding the Fourth Proportional to 22,309.61, 33,457.59 and 7,514.56

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Solution

The fourth proportional to 22,309.61, 33,457.59 and 7,514.56 is: 11,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.61 : 33,457.59 = 7,514.56 : x
  2. Step 2: Convert to fraction form
    22,309.61/33,457.59 = 7,514.56/x
  3. Step 3: Cross multiply
    22,309.61x = 33,457.59 × 7,514.56
  4. Step 4: Simplify right side
    22,309.61x = 251,419,067.51
  5. Step 5: Solve for x
    x = 251,419,067.51/22,309.61
  6. Step 6: Final answer
    x = 11,269.54

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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.