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Finding the Fourth Proportional to 12,304.26, 18,447.44 and 4,906.50

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Solution

The fourth proportional to 12,304.26, 18,447.44 and 4,906.50 is: 7,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.26 : 18,447.44 = 4,906.50 : x
  2. Step 2: Convert to fraction form
    12,304.26/18,447.44 = 4,906.50/x
  3. Step 3: Cross multiply
    12,304.26x = 18,447.44 × 4,906.50
  4. Step 4: Simplify right side
    12,304.26x = 90,512,272.12
  5. Step 5: Solve for x
    x = 90,512,272.12/12,304.26
  6. Step 6: Final answer
    x = 7,356.18

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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.