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Finding the Fourth Proportional to 12,244, 18,366 and 4,852.48

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Solution

The fourth proportional to 12,244, 18,366 and 4,852.48 is: 7,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,244 : 18,366 = 4,852.48 : x
  2. Step 2: Convert to fraction form
    12,244/18,366 = 4,852.48/x
  3. Step 3: Cross multiply
    12,244x = 18,366 × 4,852.48
  4. Step 4: Simplify right side
    12,244x = 89,120,647.68
  5. Step 5: Solve for x
    x = 89,120,647.68/12,244
  6. Step 6: Final answer
    x = 7,278.72

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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.