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Finding the Fourth Proportional to 17,766.44, 24,517.86 and 9,808.49

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Solution

The fourth proportional to 17,766.44, 24,517.86 and 9,808.49 is: 13,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.44 : 24,517.86 = 9,808.49 : x
  2. Step 2: Convert to fraction form
    17,766.44/24,517.86 = 9,808.49/x
  3. Step 3: Cross multiply
    17,766.44x = 24,517.86 × 9,808.49
  4. Step 4: Simplify right side
    17,766.44x = 240,483,209.14
  5. Step 5: Solve for x
    x = 240,483,209.14/17,766.44
  6. Step 6: Final answer
    x = 13,535.81

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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.