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Finding the Fourth Proportional to 19,673.70, 29,519.27 and 10,311.48

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Solution

The fourth proportional to 19,673.70, 29,519.27 and 10,311.48 is: 15,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.70 : 29,519.27 = 10,311.48 : x
  2. Step 2: Convert to fraction form
    19,673.70/29,519.27 = 10,311.48/x
  3. Step 3: Cross multiply
    19,673.70x = 29,519.27 × 10,311.48
  4. Step 4: Simplify right side
    19,673.70x = 304,387,310.66
  5. Step 5: Solve for x
    x = 304,387,310.66/19,673.70
  6. Step 6: Final answer
    x = 15,471.79

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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.