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Finding the Fourth Proportional to 12,114.93, 18,169.16 and 3,350.33

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Solution

The fourth proportional to 12,114.93, 18,169.16 and 3,350.33 is: 5,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.93 : 18,169.16 = 3,350.33 : x
  2. Step 2: Convert to fraction form
    12,114.93/18,169.16 = 3,350.33/x
  3. Step 3: Cross multiply
    12,114.93x = 18,169.16 × 3,350.33
  4. Step 4: Simplify right side
    12,114.93x = 60,872,574.23
  5. Step 5: Solve for x
    x = 60,872,574.23/12,114.93
  6. Step 6: Final answer
    x = 5,024.59

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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.