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Finding the Fourth Proportional to 21,786.12, 32,682.78 and 8,638.56

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Solution

The fourth proportional to 21,786.12, 32,682.78 and 8,638.56 is: 12,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786.12 : 32,682.78 = 8,638.56 : x
  2. Step 2: Convert to fraction form
    21,786.12/32,682.78 = 8,638.56/x
  3. Step 3: Cross multiply
    21,786.12x = 32,682.78 × 8,638.56
  4. Step 4: Simplify right side
    21,786.12x = 282,332,156.00
  5. Step 5: Solve for x
    x = 282,332,156.00/21,786.12
  6. Step 6: Final answer
    x = 12,959.27

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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.