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Finding the Fourth Proportional to 12,443.10, 18,664.65 and 7,194.30

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Solution

The fourth proportional to 12,443.10, 18,664.65 and 7,194.30 is: 10,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.10 : 18,664.65 = 7,194.30 : x
  2. Step 2: Convert to fraction form
    12,443.10/18,664.65 = 7,194.30/x
  3. Step 3: Cross multiply
    12,443.10x = 18,664.65 × 7,194.30
  4. Step 4: Simplify right side
    12,443.10x = 134,279,091.50
  5. Step 5: Solve for x
    x = 134,279,091.50/12,443.10
  6. Step 6: Final answer
    x = 10,791.45

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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.