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Finding the Fourth Proportional to 22,782.53, 34,162.09 and 10,295.79

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Solution

The fourth proportional to 22,782.53, 34,162.09 and 10,295.79 is: 15,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.53 : 34,162.09 = 10,295.79 : x
  2. Step 2: Convert to fraction form
    22,782.53/34,162.09 = 10,295.79/x
  3. Step 3: Cross multiply
    22,782.53x = 34,162.09 × 10,295.79
  4. Step 4: Simplify right side
    22,782.53x = 351,725,550.75
  5. Step 5: Solve for x
    x = 351,725,550.75/22,782.53
  6. Step 6: Final answer
    x = 15,438.39

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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.