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Finding the Fourth Proportional to 19,757.62, 29,648.12 and 7,286.41

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Solution

The fourth proportional to 19,757.62, 29,648.12 and 7,286.41 is: 10,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.62 : 29,648.12 = 7,286.41 : x
  2. Step 2: Convert to fraction form
    19,757.62/29,648.12 = 7,286.41/x
  3. Step 3: Cross multiply
    19,757.62x = 29,648.12 × 7,286.41
  4. Step 4: Simplify right side
    19,757.62x = 216,028,358.05
  5. Step 5: Solve for x
    x = 216,028,358.05/19,757.62
  6. Step 6: Final answer
    x = 10,933.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.