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Finding the Fourth Proportional to 12,202.83, 16,840.06 and 7,167.13

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Solution

The fourth proportional to 12,202.83, 16,840.06 and 7,167.13 is: 9,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.83 : 16,840.06 = 7,167.13 : x
  2. Step 2: Convert to fraction form
    12,202.83/16,840.06 = 7,167.13/x
  3. Step 3: Cross multiply
    12,202.83x = 16,840.06 × 7,167.13
  4. Step 4: Simplify right side
    12,202.83x = 120,694,839.21
  5. Step 5: Solve for x
    x = 120,694,839.21/12,202.83
  6. Step 6: Final answer
    x = 9,890.73

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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.