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Finding the Fourth Proportional to 19,687.78, 29,517.09 and 11,894.77

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Solution

The fourth proportional to 19,687.78, 29,517.09 and 11,894.77 is: 17,833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.78 : 29,517.09 = 11,894.77 : x
  2. Step 2: Convert to fraction form
    19,687.78/29,517.09 = 11,894.77/x
  3. Step 3: Cross multiply
    19,687.78x = 29,517.09 × 11,894.77
  4. Step 4: Simplify right side
    19,687.78x = 351,098,996.62
  5. Step 5: Solve for x
    x = 351,098,996.62/19,687.78
  6. Step 6: Final answer
    x = 17,833.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.