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Finding the Fourth Proportional to 17,878.67, 24,672.56 and 9,922.17

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Solution

The fourth proportional to 17,878.67, 24,672.56 and 9,922.17 is: 13,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.67 : 24,672.56 = 9,922.17 : x
  2. Step 2: Convert to fraction form
    17,878.67/24,672.56 = 9,922.17/x
  3. Step 3: Cross multiply
    17,878.67x = 24,672.56 × 9,922.17
  4. Step 4: Simplify right side
    17,878.67x = 244,805,334.66
  5. Step 5: Solve for x
    x = 244,805,334.66/17,878.67
  6. Step 6: Final answer
    x = 13,692.59

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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.