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Finding the Fourth Proportional to 12,077.67, 16,667.22 and 6,772.47

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Solution

The fourth proportional to 12,077.67, 16,667.22 and 6,772.47 is: 9,346.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.67 : 16,667.22 = 6,772.47 : x
  2. Step 2: Convert to fraction form
    12,077.67/16,667.22 = 6,772.47/x
  3. Step 3: Cross multiply
    12,077.67x = 16,667.22 × 6,772.47
  4. Step 4: Simplify right side
    12,077.67x = 112,878,247.43
  5. Step 5: Solve for x
    x = 112,878,247.43/12,077.67
  6. Step 6: Final answer
    x = 9,346.03

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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.