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Finding the Fourth Proportional to 12,033.72, 18,050.42 and 4,141.99

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Solution

The fourth proportional to 12,033.72, 18,050.42 and 4,141.99 is: 6,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.72 : 18,050.42 = 4,141.99 : x
  2. Step 2: Convert to fraction form
    12,033.72/18,050.42 = 4,141.99/x
  3. Step 3: Cross multiply
    12,033.72x = 18,050.42 × 4,141.99
  4. Step 4: Simplify right side
    12,033.72x = 74,764,624.36
  5. Step 5: Solve for x
    x = 74,764,624.36/12,033.72
  6. Step 6: Final answer
    x = 6,212.93

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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.