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Finding the Fourth Proportional to 19,757.24, 29,635.89 and 8,070.46

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Solution

The fourth proportional to 19,757.24, 29,635.89 and 8,070.46 is: 12,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.24 : 29,635.89 = 8,070.46 : x
  2. Step 2: Convert to fraction form
    19,757.24/29,635.89 = 8,070.46/x
  3. Step 3: Cross multiply
    19,757.24x = 29,635.89 × 8,070.46
  4. Step 4: Simplify right side
    19,757.24x = 239,175,372.55
  5. Step 5: Solve for x
    x = 239,175,372.55/19,757.24
  6. Step 6: Final answer
    x = 12,105.71

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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.