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Finding the Fourth Proportional to 17,766.58, 24,517.88 and 9,808.82

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Solution

The fourth proportional to 17,766.58, 24,517.88 and 9,808.82 is: 13,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.58 : 24,517.88 = 9,808.82 : x
  2. Step 2: Convert to fraction form
    17,766.58/24,517.88 = 9,808.82/x
  3. Step 3: Cross multiply
    17,766.58x = 24,517.88 × 9,808.82
  4. Step 4: Simplify right side
    17,766.58x = 240,491,471.70
  5. Step 5: Solve for x
    x = 240,491,471.70/17,766.58
  6. Step 6: Final answer
    x = 13,536.17

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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.