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Finding the Fourth Proportional to 19,700.97, 29,542.68 and 7,217.70

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Solution

The fourth proportional to 19,700.97, 29,542.68 and 7,217.70 is: 10,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.97 : 29,542.68 = 7,217.70 : x
  2. Step 2: Convert to fraction form
    19,700.97/29,542.68 = 7,217.70/x
  3. Step 3: Cross multiply
    19,700.97x = 29,542.68 × 7,217.70
  4. Step 4: Simplify right side
    19,700.97x = 213,230,201.44
  5. Step 5: Solve for x
    x = 213,230,201.44/19,700.97
  6. Step 6: Final answer
    x = 10,823.34

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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.