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Finding the Fourth Proportional to 20,806.56, 31,182.84 and 15,858

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Solution

The fourth proportional to 20,806.56, 31,182.84 and 15,858 is: 23,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.56 : 31,182.84 = 15,858 : x
  2. Step 2: Convert to fraction form
    20,806.56/31,182.84 = 15,858/x
  3. Step 3: Cross multiply
    20,806.56x = 31,182.84 × 15,858
  4. Step 4: Simplify right side
    20,806.56x = 494,497,476.72
  5. Step 5: Solve for x
    x = 494,497,476.72/20,806.56
  6. Step 6: Final answer
    x = 23,766.42

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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.