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Finding the Fourth Proportional to 13,682.61, 20,562.39 and 8,136.95

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Solution

The fourth proportional to 13,682.61, 20,562.39 and 8,136.95 is: 12,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.61 : 20,562.39 = 8,136.95 : x
  2. Step 2: Convert to fraction form
    13,682.61/20,562.39 = 8,136.95/x
  3. Step 3: Cross multiply
    13,682.61x = 20,562.39 × 8,136.95
  4. Step 4: Simplify right side
    13,682.61x = 167,315,036.50
  5. Step 5: Solve for x
    x = 167,315,036.50/13,682.61
  6. Step 6: Final answer
    x = 12,228.30

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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.