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Finding the Fourth Proportional to 24,669.86, 37,005.24 and 8,029.82

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Solution

The fourth proportional to 24,669.86, 37,005.24 and 8,029.82 is: 12,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,669.86 : 37,005.24 = 8,029.82 : x
  2. Step 2: Convert to fraction form
    24,669.86/37,005.24 = 8,029.82/x
  3. Step 3: Cross multiply
    24,669.86x = 37,005.24 × 8,029.82
  4. Step 4: Simplify right side
    24,669.86x = 297,145,608.27
  5. Step 5: Solve for x
    x = 297,145,608.27/24,669.86
  6. Step 6: Final answer
    x = 12,044.89

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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.