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Finding the Fourth Proportional to 24,805.80, 34,231.41 and 14,194.76

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Solution

The fourth proportional to 24,805.80, 34,231.41 and 14,194.76 is: 19,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.80 : 34,231.41 = 14,194.76 : x
  2. Step 2: Convert to fraction form
    24,805.80/34,231.41 = 14,194.76/x
  3. Step 3: Cross multiply
    24,805.80x = 34,231.41 × 14,194.76
  4. Step 4: Simplify right side
    24,805.80x = 485,906,478.25
  5. Step 5: Solve for x
    x = 485,906,478.25/24,805.80
  6. Step 6: Final answer
    x = 19,588.42

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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.