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Finding the Fourth Proportional to 12,151, 18,229.74 and 5,995

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Solution

The fourth proportional to 12,151, 18,229.74 and 5,995 is: 8,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151 : 18,229.74 = 5,995 : x
  2. Step 2: Convert to fraction form
    12,151/18,229.74 = 5,995/x
  3. Step 3: Cross multiply
    12,151x = 18,229.74 × 5,995
  4. Step 4: Simplify right side
    12,151x = 109,287,291.30
  5. Step 5: Solve for x
    x = 109,287,291.30/12,151
  6. Step 6: Final answer
    x = 8,994.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.