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Finding the Fourth Proportional to 12,206.34, 16,839.42 and 7,161.66

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Solution

The fourth proportional to 12,206.34, 16,839.42 and 7,161.66 is: 9,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.34 : 16,839.42 = 7,161.66 : x
  2. Step 2: Convert to fraction form
    12,206.34/16,839.42 = 7,161.66/x
  3. Step 3: Cross multiply
    12,206.34x = 16,839.42 × 7,161.66
  4. Step 4: Simplify right side
    12,206.34x = 120,598,200.64
  5. Step 5: Solve for x
    x = 120,598,200.64/12,206.34
  6. Step 6: Final answer
    x = 9,879.96

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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.