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Finding the Fourth Proportional to 12,272.70, 16,941.77 and 8,296.14

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Solution

The fourth proportional to 12,272.70, 16,941.77 and 8,296.14 is: 11,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.70 : 16,941.77 = 8,296.14 : x
  2. Step 2: Convert to fraction form
    12,272.70/16,941.77 = 8,296.14/x
  3. Step 3: Cross multiply
    12,272.70x = 16,941.77 × 8,296.14
  4. Step 4: Simplify right side
    12,272.70x = 140,551,295.77
  5. Step 5: Solve for x
    x = 140,551,295.77/12,272.70
  6. Step 6: Final answer
    x = 11,452.35

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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.