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Finding the Fourth Proportional to 24,426, 33,691.82 and 19,382.22

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Solution

The fourth proportional to 24,426, 33,691.82 and 19,382.22 is: 26,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,426 : 33,691.82 = 19,382.22 : x
  2. Step 2: Convert to fraction form
    24,426/33,691.82 = 19,382.22/x
  3. Step 3: Cross multiply
    24,426x = 33,691.82 × 19,382.22
  4. Step 4: Simplify right side
    24,426x = 653,022,170.53
  5. Step 5: Solve for x
    x = 653,022,170.53/24,426
  6. Step 6: Final answer
    x = 26,734.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.