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Finding the Fourth Proportional to 21,198.43, 31,806.02 and 8,054.29

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Solution

The fourth proportional to 21,198.43, 31,806.02 and 8,054.29 is: 12,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.43 : 31,806.02 = 8,054.29 : x
  2. Step 2: Convert to fraction form
    21,198.43/31,806.02 = 8,054.29/x
  3. Step 3: Cross multiply
    21,198.43x = 31,806.02 × 8,054.29
  4. Step 4: Simplify right side
    21,198.43x = 256,174,908.83
  5. Step 5: Solve for x
    x = 256,174,908.83/21,198.43
  6. Step 6: Final answer
    x = 12,084.62

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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.