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Finding the Fourth Proportional to 12,073.64, 16,667.89 and 9,378.83

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Solution

The fourth proportional to 12,073.64, 16,667.89 and 9,378.83 is: 12,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.64 : 16,667.89 = 9,378.83 : x
  2. Step 2: Convert to fraction form
    12,073.64/16,667.89 = 9,378.83/x
  3. Step 3: Cross multiply
    12,073.64x = 16,667.89 × 9,378.83
  4. Step 4: Simplify right side
    12,073.64x = 156,325,220.98
  5. Step 5: Solve for x
    x = 156,325,220.98/12,073.64
  6. Step 6: Final answer
    x = 12,947.64

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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.