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Finding the Fourth Proportional to 24,251.78, 33,467.10 and 13,641.41

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Solution

The fourth proportional to 24,251.78, 33,467.10 and 13,641.41 is: 18,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251.78 : 33,467.10 = 13,641.41 : x
  2. Step 2: Convert to fraction form
    24,251.78/33,467.10 = 13,641.41/x
  3. Step 3: Cross multiply
    24,251.78x = 33,467.10 × 13,641.41
  4. Step 4: Simplify right side
    24,251.78x = 456,538,503.49
  5. Step 5: Solve for x
    x = 456,538,503.49/24,251.78
  6. Step 6: Final answer
    x = 18,824.95

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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.