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Finding the Fourth Proportional to 24,188.82, 33,380.01 and 13,578.18

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Solution

The fourth proportional to 24,188.82, 33,380.01 and 13,578.18 is: 18,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.82 : 33,380.01 = 13,578.18 : x
  2. Step 2: Convert to fraction form
    24,188.82/33,380.01 = 13,578.18/x
  3. Step 3: Cross multiply
    24,188.82x = 33,380.01 × 13,578.18
  4. Step 4: Simplify right side
    24,188.82x = 453,239,784.18
  5. Step 5: Solve for x
    x = 453,239,784.18/24,188.82
  6. Step 6: Final answer
    x = 18,737.57

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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.