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Finding the Fourth Proportional to 21,380.98, 32,078.44 and 10,288.56

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Solution

The fourth proportional to 21,380.98, 32,078.44 and 10,288.56 is: 15,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.98 : 32,078.44 = 10,288.56 : x
  2. Step 2: Convert to fraction form
    21,380.98/32,078.44 = 10,288.56/x
  3. Step 3: Cross multiply
    21,380.98x = 32,078.44 × 10,288.56
  4. Step 4: Simplify right side
    21,380.98x = 330,040,954.65
  5. Step 5: Solve for x
    x = 330,040,954.65/21,380.98
  6. Step 6: Final answer
    x = 15,436.19

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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.