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Finding the Fourth Proportional to 19,717.59, 29,542.98 and 11,910

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Solution

The fourth proportional to 19,717.59, 29,542.98 and 11,910 is: 17,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,717.59 : 29,542.98 = 11,910 : x
  2. Step 2: Convert to fraction form
    19,717.59/29,542.98 = 11,910/x
  3. Step 3: Cross multiply
    19,717.59x = 29,542.98 × 11,910
  4. Step 4: Simplify right side
    19,717.59x = 351,856,891.80
  5. Step 5: Solve for x
    x = 351,856,891.80/19,717.59
  6. Step 6: Final answer
    x = 17,844.82

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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.