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Finding the Fourth Proportional to 12,077.52, 16,667.02 and 7,604.23

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Solution

The fourth proportional to 12,077.52, 16,667.02 and 7,604.23 is: 10,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.52 : 16,667.02 = 7,604.23 : x
  2. Step 2: Convert to fraction form
    12,077.52/16,667.02 = 7,604.23/x
  3. Step 3: Cross multiply
    12,077.52x = 16,667.02 × 7,604.23
  4. Step 4: Simplify right side
    12,077.52x = 126,739,853.49
  5. Step 5: Solve for x
    x = 126,739,853.49/12,077.52
  6. Step 6: Final answer
    x = 10,493.86

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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.