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Finding the Fourth Proportional to 12,280.33, 16,960.62 and 8,294.50

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Solution

The fourth proportional to 12,280.33, 16,960.62 and 8,294.50 is: 11,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.33 : 16,960.62 = 8,294.50 : x
  2. Step 2: Convert to fraction form
    12,280.33/16,960.62 = 8,294.50/x
  3. Step 3: Cross multiply
    12,280.33x = 16,960.62 × 8,294.50
  4. Step 4: Simplify right side
    12,280.33x = 140,679,862.59
  5. Step 5: Solve for x
    x = 140,679,862.59/12,280.33
  6. Step 6: Final answer
    x = 11,455.71

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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.