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Finding the Fourth Proportional to 12,680.98, 17,493.93 and 8,206.18

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Solution

The fourth proportional to 12,680.98, 17,493.93 and 8,206.18 is: 11,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.98 : 17,493.93 = 8,206.18 : x
  2. Step 2: Convert to fraction form
    12,680.98/17,493.93 = 8,206.18/x
  3. Step 3: Cross multiply
    12,680.98x = 17,493.93 × 8,206.18
  4. Step 4: Simplify right side
    12,680.98x = 143,558,338.49
  5. Step 5: Solve for x
    x = 143,558,338.49/12,680.98
  6. Step 6: Final answer
    x = 11,320.76

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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.