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Finding the Fourth Proportional to 24,483, 36,725.22 and 6,015

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Solution

The fourth proportional to 24,483, 36,725.22 and 6,015 is: 9,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,483 : 36,725.22 = 6,015 : x
  2. Step 2: Convert to fraction form
    24,483/36,725.22 = 6,015/x
  3. Step 3: Cross multiply
    24,483x = 36,725.22 × 6,015
  4. Step 4: Simplify right side
    24,483x = 220,902,198.30
  5. Step 5: Solve for x
    x = 220,902,198.30/24,483
  6. Step 6: Final answer
    x = 9,022.68

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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.