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Finding the Fourth Proportional to 12,680.85, 17,493.66 and 8,206.04

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Solution

The fourth proportional to 12,680.85, 17,493.66 and 8,206.04 is: 11,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.85 : 17,493.66 = 8,206.04 : x
  2. Step 2: Convert to fraction form
    12,680.85/17,493.66 = 8,206.04/x
  3. Step 3: Cross multiply
    12,680.85x = 17,493.66 × 8,206.04
  4. Step 4: Simplify right side
    12,680.85x = 143,553,586.24
  5. Step 5: Solve for x
    x = 143,553,586.24/12,680.85
  6. Step 6: Final answer
    x = 11,320.50

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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.