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Finding the Fourth Proportional to 24,517.98, 33,840.86 and 13,914

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Solution

The fourth proportional to 24,517.98, 33,840.86 and 13,914 is: 19,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.98 : 33,840.86 = 13,914 : x
  2. Step 2: Convert to fraction form
    24,517.98/33,840.86 = 13,914/x
  3. Step 3: Cross multiply
    24,517.98x = 33,840.86 × 13,914
  4. Step 4: Simplify right side
    24,517.98x = 470,861,656.47
  5. Step 5: Solve for x
    x = 470,861,656.47/24,517.98
  6. Step 6: Final answer
    x = 19,204.75

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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.