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Finding the Fourth Proportional to 24,764.43, 37,147.37 and 6,296.43

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Solution

The fourth proportional to 24,764.43, 37,147.37 and 6,296.43 is: 9,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,764.43 : 37,147.37 = 6,296.43 : x
  2. Step 2: Convert to fraction form
    24,764.43/37,147.37 = 6,296.43/x
  3. Step 3: Cross multiply
    24,764.43x = 37,147.37 × 6,296.43
  4. Step 4: Simplify right side
    24,764.43x = 233,895,783.41
  5. Step 5: Solve for x
    x = 233,895,783.41/24,764.43
  6. Step 6: Final answer
    x = 9,444.83

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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.