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Finding the Fourth Proportional to 23,772.69, 35,651.34 and 10,634.49

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Solution

The fourth proportional to 23,772.69, 35,651.34 and 10,634.49 is: 15,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.69 : 35,651.34 = 10,634.49 : x
  2. Step 2: Convert to fraction form
    23,772.69/35,651.34 = 10,634.49/x
  3. Step 3: Cross multiply
    23,772.69x = 35,651.34 × 10,634.49
  4. Step 4: Simplify right side
    23,772.69x = 379,133,818.72
  5. Step 5: Solve for x
    x = 379,133,818.72/23,772.69
  6. Step 6: Final answer
    x = 15,948.29

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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.