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Finding the Fourth Proportional to 21,367.98, 32,072.63 and 10,282.32

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Solution

The fourth proportional to 21,367.98, 32,072.63 and 10,282.32 is: 15,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,367.98 : 32,072.63 = 10,282.32 : x
  2. Step 2: Convert to fraction form
    21,367.98/32,072.63 = 10,282.32/x
  3. Step 3: Cross multiply
    21,367.98x = 32,072.63 × 10,282.32
  4. Step 4: Simplify right side
    21,367.98x = 329,780,993.49
  5. Step 5: Solve for x
    x = 329,780,993.49/21,367.98
  6. Step 6: Final answer
    x = 15,433.42

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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.