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Finding the Fourth Proportional to 24,362, 36,544.20 and 7,946

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Solution

The fourth proportional to 24,362, 36,544.20 and 7,946 is: 11,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362 : 36,544.20 = 7,946 : x
  2. Step 2: Convert to fraction form
    24,362/36,544.20 = 7,946/x
  3. Step 3: Cross multiply
    24,362x = 36,544.20 × 7,946
  4. Step 4: Simplify right side
    24,362x = 290,380,213.20
  5. Step 5: Solve for x
    x = 290,380,213.20/24,362
  6. Step 6: Final answer
    x = 11,919.39

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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.