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Finding the Fourth Proportional to 24,188.90, 33,380.10 and 13,578.32

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Solution

The fourth proportional to 24,188.90, 33,380.10 and 13,578.32 is: 18,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.90 : 33,380.10 = 13,578.32 : x
  2. Step 2: Convert to fraction form
    24,188.90/33,380.10 = 13,578.32/x
  3. Step 3: Cross multiply
    24,188.90x = 33,380.10 × 13,578.32
  4. Step 4: Simplify right side
    24,188.90x = 453,245,679.43
  5. Step 5: Solve for x
    x = 453,245,679.43/24,188.90
  6. Step 6: Final answer
    x = 18,737.75

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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.