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Finding the Fourth Proportional to 24,684.84, 37,029.24 and 8,044.56

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Solution

The fourth proportional to 24,684.84, 37,029.24 and 8,044.56 is: 12,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,684.84 : 37,029.24 = 8,044.56 : x
  2. Step 2: Convert to fraction form
    24,684.84/37,029.24 = 8,044.56/x
  3. Step 3: Cross multiply
    24,684.84x = 37,029.24 × 8,044.56
  4. Step 4: Simplify right side
    24,684.84x = 297,883,942.93
  5. Step 5: Solve for x
    x = 297,883,942.93/24,684.84
  6. Step 6: Final answer
    x = 12,067.49

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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.