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Finding the Fourth Proportional to 22,642.74, 33,950.82 and 6,843.06

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Solution

The fourth proportional to 22,642.74, 33,950.82 and 6,843.06 is: 10,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.74 : 33,950.82 = 6,843.06 : x
  2. Step 2: Convert to fraction form
    22,642.74/33,950.82 = 6,843.06/x
  3. Step 3: Cross multiply
    22,642.74x = 33,950.82 × 6,843.06
  4. Step 4: Simplify right side
    22,642.74x = 232,327,498.31
  5. Step 5: Solve for x
    x = 232,327,498.31/22,642.74
  6. Step 6: Final answer
    x = 10,260.57

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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.