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Finding the Fourth Proportional to 21,839.31, 32,739.58 and 8,509.22

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Solution

The fourth proportional to 21,839.31, 32,739.58 and 8,509.22 is: 12,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,839.31 : 32,739.58 = 8,509.22 : x
  2. Step 2: Convert to fraction form
    21,839.31/32,739.58 = 8,509.22/x
  3. Step 3: Cross multiply
    21,839.31x = 32,739.58 × 8,509.22
  4. Step 4: Simplify right side
    21,839.31x = 278,588,226.73
  5. Step 5: Solve for x
    x = 278,588,226.73/21,839.31
  6. Step 6: Final answer
    x = 12,756.27

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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.