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Finding the Fourth Proportional to 22,991.87, 34,463.29 and 13,109.87

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Solution

The fourth proportional to 22,991.87, 34,463.29 and 13,109.87 is: 19,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.87 : 34,463.29 = 13,109.87 : x
  2. Step 2: Convert to fraction form
    22,991.87/34,463.29 = 13,109.87/x
  3. Step 3: Cross multiply
    22,991.87x = 34,463.29 × 13,109.87
  4. Step 4: Simplify right side
    22,991.87x = 451,809,251.67
  5. Step 5: Solve for x
    x = 451,809,251.67/22,991.87
  6. Step 6: Final answer
    x = 19,650.83

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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.