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Finding the Fourth Proportional to 18,314.88, 27,466.32 and 6,000

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Solution

The fourth proportional to 18,314.88, 27,466.32 and 6,000 is: 8,998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,314.88 : 27,466.32 = 6,000 : x
  2. Step 2: Convert to fraction form
    18,314.88/27,466.32 = 6,000/x
  3. Step 3: Cross multiply
    18,314.88x = 27,466.32 × 6,000
  4. Step 4: Simplify right side
    18,314.88x = 164,797,920
  5. Step 5: Solve for x
    x = 164,797,920/18,314.88
  6. Step 6: Final answer
    x = 8,998.03

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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.