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Finding the Fourth Proportional to 22,933.70, 34,367.61 and 9,782.54

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Solution

The fourth proportional to 22,933.70, 34,367.61 and 9,782.54 is: 14,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.70 : 34,367.61 = 9,782.54 : x
  2. Step 2: Convert to fraction form
    22,933.70/34,367.61 = 9,782.54/x
  3. Step 3: Cross multiply
    22,933.70x = 34,367.61 × 9,782.54
  4. Step 4: Simplify right side
    22,933.70x = 336,202,519.53
  5. Step 5: Solve for x
    x = 336,202,519.53/22,933.70
  6. Step 6: Final answer
    x = 14,659.76

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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.