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Finding the Fourth Proportional to 19,823.72, 29,729.38 and 7,171.88

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Solution

The fourth proportional to 19,823.72, 29,729.38 and 7,171.88 is: 10,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.72 : 29,729.38 = 7,171.88 : x
  2. Step 2: Convert to fraction form
    19,823.72/29,729.38 = 7,171.88/x
  3. Step 3: Cross multiply
    19,823.72x = 29,729.38 × 7,171.88
  4. Step 4: Simplify right side
    19,823.72x = 213,215,545.83
  5. Step 5: Solve for x
    x = 213,215,545.83/19,823.72
  6. Step 6: Final answer
    x = 10,755.58

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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.