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Finding the Fourth Proportional to 12,682.20, 19,029.21 and 5,661.48

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Solution

The fourth proportional to 12,682.20, 19,029.21 and 5,661.48 is: 8,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.20 : 19,029.21 = 5,661.48 : x
  2. Step 2: Convert to fraction form
    12,682.20/19,029.21 = 5,661.48/x
  3. Step 3: Cross multiply
    12,682.20x = 19,029.21 × 5,661.48
  4. Step 4: Simplify right side
    12,682.20x = 107,733,491.83
  5. Step 5: Solve for x
    x = 107,733,491.83/12,682.20
  6. Step 6: Final answer
    x = 8,494.86

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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.