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Finding the Fourth Proportional to 10,033.80, 13,815.73 and 8,912.78

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Solution

The fourth proportional to 10,033.80, 13,815.73 and 8,912.78 is: 12,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.80 : 13,815.73 = 8,912.78 : x
  2. Step 2: Convert to fraction form
    10,033.80/13,815.73 = 8,912.78/x
  3. Step 3: Cross multiply
    10,033.80x = 13,815.73 × 8,912.78
  4. Step 4: Simplify right side
    10,033.80x = 123,136,583.48
  5. Step 5: Solve for x
    x = 123,136,583.48/10,033.80
  6. Step 6: Final answer
    x = 12,272.18

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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.