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Finding the Fourth Proportional to 12,280.37, 16,933.50 and 8,294.57

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Solution

The fourth proportional to 12,280.37, 16,933.50 and 8,294.57 is: 11,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.37 : 16,933.50 = 8,294.57 : x
  2. Step 2: Convert to fraction form
    12,280.37/16,933.50 = 8,294.57/x
  3. Step 3: Cross multiply
    12,280.37x = 16,933.50 × 8,294.57
  4. Step 4: Simplify right side
    12,280.37x = 140,456,016.43
  5. Step 5: Solve for x
    x = 140,456,016.43/12,280.37
  6. Step 6: Final answer
    x = 11,437.44

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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.