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Finding the Fourth Proportional to 12,215.31, 18,323.01 and 5,194.32

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Solution

The fourth proportional to 12,215.31, 18,323.01 and 5,194.32 is: 7,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.31 : 18,323.01 = 5,194.32 : x
  2. Step 2: Convert to fraction form
    12,215.31/18,323.01 = 5,194.32/x
  3. Step 3: Cross multiply
    12,215.31x = 18,323.01 × 5,194.32
  4. Step 4: Simplify right side
    12,215.31x = 95,175,577.30
  5. Step 5: Solve for x
    x = 95,175,577.30/12,215.31
  6. Step 6: Final answer
    x = 7,791.50

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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.