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Finding the Fourth Proportional to 24,282.57, 33,511.37 and 16,202.31

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Solution

The fourth proportional to 24,282.57, 33,511.37 and 16,202.31 is: 22,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282.57 : 33,511.37 = 16,202.31 : x
  2. Step 2: Convert to fraction form
    24,282.57/33,511.37 = 16,202.31/x
  3. Step 3: Cross multiply
    24,282.57x = 33,511.37 × 16,202.31
  4. Step 4: Simplify right side
    24,282.57x = 542,961,524.25
  5. Step 5: Solve for x
    x = 542,961,524.25/24,282.57
  6. Step 6: Final answer
    x = 22,360.13

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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.