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Finding the Fourth Proportional to 12,255.66, 16,912.68 and 6,666.66

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Solution

The fourth proportional to 12,255.66, 16,912.68 and 6,666.66 is: 9,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.66 : 16,912.68 = 6,666.66 : x
  2. Step 2: Convert to fraction form
    12,255.66/16,912.68 = 6,666.66/x
  3. Step 3: Cross multiply
    12,255.66x = 16,912.68 × 6,666.66
  4. Step 4: Simplify right side
    12,255.66x = 112,751,087.25
  5. Step 5: Solve for x
    x = 112,751,087.25/12,255.66
  6. Step 6: Final answer
    x = 9,199.92

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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.