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Finding the Fourth Proportional to 12,380.47, 17,086.41 and 8,134.99

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Solution

The fourth proportional to 12,380.47, 17,086.41 and 8,134.99 is: 11,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.47 : 17,086.41 = 8,134.99 : x
  2. Step 2: Convert to fraction form
    12,380.47/17,086.41 = 8,134.99/x
  3. Step 3: Cross multiply
    12,380.47x = 17,086.41 × 8,134.99
  4. Step 4: Simplify right side
    12,380.47x = 138,997,731.77
  5. Step 5: Solve for x
    x = 138,997,731.77/12,380.47
  6. Step 6: Final answer
    x = 11,227.18

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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.