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Finding the Fourth Proportional to 12,138.93, 18,205.16 and 3,374.33

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Solution

The fourth proportional to 12,138.93, 18,205.16 and 3,374.33 is: 5,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.93 : 18,205.16 = 3,374.33 : x
  2. Step 2: Convert to fraction form
    12,138.93/18,205.16 = 3,374.33/x
  3. Step 3: Cross multiply
    12,138.93x = 18,205.16 × 3,374.33
  4. Step 4: Simplify right side
    12,138.93x = 61,430,109.65
  5. Step 5: Solve for x
    x = 61,430,109.65/12,138.93
  6. Step 6: Final answer
    x = 5,060.59

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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.