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Finding the Fourth Proportional to 12,211.50, 18,317.43 and 3,891.51

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Solution

The fourth proportional to 12,211.50, 18,317.43 and 3,891.51 is: 5,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.50 : 18,317.43 = 3,891.51 : x
  2. Step 2: Convert to fraction form
    12,211.50/18,317.43 = 3,891.51/x
  3. Step 3: Cross multiply
    12,211.50x = 18,317.43 × 3,891.51
  4. Step 4: Simplify right side
    12,211.50x = 71,282,462.02
  5. Step 5: Solve for x
    x = 71,282,462.02/12,211.50
  6. Step 6: Final answer
    x = 5,837.32

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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.