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Finding the Fourth Proportional to 16,647.50, 22,963.82 and 10,361.90

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Solution

The fourth proportional to 16,647.50, 22,963.82 and 10,361.90 is: 14,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.50 : 22,963.82 = 10,361.90 : x
  2. Step 2: Convert to fraction form
    16,647.50/22,963.82 = 10,361.90/x
  3. Step 3: Cross multiply
    16,647.50x = 22,963.82 × 10,361.90
  4. Step 4: Simplify right side
    16,647.50x = 237,948,806.46
  5. Step 5: Solve for x
    x = 237,948,806.46/16,647.50
  6. Step 6: Final answer
    x = 14,293.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.