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Finding the Fourth Proportional to 21,380.90, 32,048.67 and 8,227.58

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Solution

The fourth proportional to 21,380.90, 32,048.67 and 8,227.58 is: 12,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.90 : 32,048.67 = 8,227.58 : x
  2. Step 2: Convert to fraction form
    21,380.90/32,048.67 = 8,227.58/x
  3. Step 3: Cross multiply
    21,380.90x = 32,048.67 × 8,227.58
  4. Step 4: Simplify right side
    21,380.90x = 263,682,996.32
  5. Step 5: Solve for x
    x = 263,682,996.32/21,380.90
  6. Step 6: Final answer
    x = 12,332.64

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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.