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Finding the Fourth Proportional to 12,366, 18,550.08 and 3,132

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Solution

The fourth proportional to 12,366, 18,550.08 and 3,132 is: 4,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366 : 18,550.08 = 3,132 : x
  2. Step 2: Convert to fraction form
    12,366/18,550.08 = 3,132/x
  3. Step 3: Cross multiply
    12,366x = 18,550.08 × 3,132
  4. Step 4: Simplify right side
    12,366x = 58,098,850.56
  5. Step 5: Solve for x
    x = 58,098,850.56/12,366
  6. Step 6: Final answer
    x = 4,698.27

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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.