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Finding the Fourth Proportional to 17,692.97, 24,416.88 and 9,735.80

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Solution

The fourth proportional to 17,692.97, 24,416.88 and 9,735.80 is: 13,435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.97 : 24,416.88 = 9,735.80 : x
  2. Step 2: Convert to fraction form
    17,692.97/24,416.88 = 9,735.80/x
  3. Step 3: Cross multiply
    17,692.97x = 24,416.88 × 9,735.80
  4. Step 4: Simplify right side
    17,692.97x = 237,717,860.30
  5. Step 5: Solve for x
    x = 237,717,860.30/17,692.97
  6. Step 6: Final answer
    x = 13,435.72

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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.