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Finding the Fourth Proportional to 24,709, 37,067.34 and 8,296.84

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Solution

The fourth proportional to 24,709, 37,067.34 and 8,296.84 is: 12,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709 : 37,067.34 = 8,296.84 : x
  2. Step 2: Convert to fraction form
    24,709/37,067.34 = 8,296.84/x
  3. Step 3: Cross multiply
    24,709x = 37,067.34 × 8,296.84
  4. Step 4: Simplify right side
    24,709x = 307,541,789.21
  5. Step 5: Solve for x
    x = 307,541,789.21/24,709
  6. Step 6: Final answer
    x = 12,446.55

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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.