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Finding the Fourth Proportional to 12,920.20, 17,796.66 and 9,136.84

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Solution

The fourth proportional to 12,920.20, 17,796.66 and 9,136.84 is: 12,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.20 : 17,796.66 = 9,136.84 : x
  2. Step 2: Convert to fraction form
    12,920.20/17,796.66 = 9,136.84/x
  3. Step 3: Cross multiply
    12,920.20x = 17,796.66 × 9,136.84
  4. Step 4: Simplify right side
    12,920.20x = 162,605,234.95
  5. Step 5: Solve for x
    x = 162,605,234.95/12,920.20
  6. Step 6: Final answer
    x = 12,585.35

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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.