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Finding the Fourth Proportional to 22,634.50, 33,952.66 and 10,782.18

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Solution

The fourth proportional to 22,634.50, 33,952.66 and 10,782.18 is: 16,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.50 : 33,952.66 = 10,782.18 : x
  2. Step 2: Convert to fraction form
    22,634.50/33,952.66 = 10,782.18/x
  3. Step 3: Cross multiply
    22,634.50x = 33,952.66 × 10,782.18
  4. Step 4: Simplify right side
    22,634.50x = 366,083,691.60
  5. Step 5: Solve for x
    x = 366,083,691.60/22,634.50
  6. Step 6: Final answer
    x = 16,173.70

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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.