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Finding the Fourth Proportional to 11,692.80, 17,618.13 and 9,658.38

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Solution

The fourth proportional to 11,692.80, 17,618.13 and 9,658.38 is: 14,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.80 : 17,618.13 = 9,658.38 : x
  2. Step 2: Convert to fraction form
    11,692.80/17,618.13 = 9,658.38/x
  3. Step 3: Cross multiply
    11,692.80x = 17,618.13 × 9,658.38
  4. Step 4: Simplify right side
    11,692.80x = 170,162,594.43
  5. Step 5: Solve for x
    x = 170,162,594.43/11,692.80
  6. Step 6: Final answer
    x = 14,552.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.