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Finding the Fourth Proportional to 12,771.42, 17,612.28 and 8,296.44

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Solution

The fourth proportional to 12,771.42, 17,612.28 and 8,296.44 is: 11,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.42 : 17,612.28 = 8,296.44 : x
  2. Step 2: Convert to fraction form
    12,771.42/17,612.28 = 8,296.44/x
  3. Step 3: Cross multiply
    12,771.42x = 17,612.28 × 8,296.44
  4. Step 4: Simplify right side
    12,771.42x = 146,119,224.28
  5. Step 5: Solve for x
    x = 146,119,224.28/12,771.42
  6. Step 6: Final answer
    x = 11,441.11

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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.