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Finding the Fourth Proportional to 12,033.71, 18,050.80 and 4,136.14

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Solution

The fourth proportional to 12,033.71, 18,050.80 and 4,136.14 is: 6,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.71 : 18,050.80 = 4,136.14 : x
  2. Step 2: Convert to fraction form
    12,033.71/18,050.80 = 4,136.14/x
  3. Step 3: Cross multiply
    12,033.71x = 18,050.80 × 4,136.14
  4. Step 4: Simplify right side
    12,033.71x = 74,660,635.91
  5. Step 5: Solve for x
    x = 74,660,635.91/12,033.71
  6. Step 6: Final answer
    x = 6,204.29

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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.