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Finding the Fourth Proportional to 12,073.50, 16,667.91 and 9,414.54

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Solution

The fourth proportional to 12,073.50, 16,667.91 and 9,414.54 is: 12,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.50 : 16,667.91 = 9,414.54 : x
  2. Step 2: Convert to fraction form
    12,073.50/16,667.91 = 9,414.54/x
  3. Step 3: Cross multiply
    12,073.50x = 16,667.91 × 9,414.54
  4. Step 4: Simplify right side
    12,073.50x = 156,920,705.41
  5. Step 5: Solve for x
    x = 156,920,705.41/12,073.50
  6. Step 6: Final answer
    x = 12,997.12

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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.