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Finding the Fourth Proportional to 24,436.44, 36,657 and 6,906.60

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Solution

The fourth proportional to 24,436.44, 36,657 and 6,906.60 is: 10,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,436.44 : 36,657 = 6,906.60 : x
  2. Step 2: Convert to fraction form
    24,436.44/36,657 = 6,906.60/x
  3. Step 3: Cross multiply
    24,436.44x = 36,657 × 6,906.60
  4. Step 4: Simplify right side
    24,436.44x = 253,175,236.20
  5. Step 5: Solve for x
    x = 253,175,236.20/24,436.44
  6. Step 6: Final answer
    x = 10,360.56

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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.