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Finding the Fourth Proportional to 12,274.29, 16,932.72 and 8,296.80

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Solution

The fourth proportional to 12,274.29, 16,932.72 and 8,296.80 is: 11,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.29 : 16,932.72 = 8,296.80 : x
  2. Step 2: Convert to fraction form
    12,274.29/16,932.72 = 8,296.80/x
  3. Step 3: Cross multiply
    12,274.29x = 16,932.72 × 8,296.80
  4. Step 4: Simplify right side
    12,274.29x = 140,487,391.30
  5. Step 5: Solve for x
    x = 140,487,391.30/12,274.29
  6. Step 6: Final answer
    x = 11,445.66

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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.