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Finding the Fourth Proportional to 12,380.52, 17,092.52 and 8,138.69

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Solution

The fourth proportional to 12,380.52, 17,092.52 and 8,138.69 is: 11,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.52 : 17,092.52 = 8,138.69 : x
  2. Step 2: Convert to fraction form
    12,380.52/17,092.52 = 8,138.69/x
  3. Step 3: Cross multiply
    12,380.52x = 17,092.52 × 8,138.69
  4. Step 4: Simplify right side
    12,380.52x = 139,110,595.44
  5. Step 5: Solve for x
    x = 139,110,595.44/12,380.52
  6. Step 6: Final answer
    x = 11,236.25

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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.