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Finding the Fourth Proportional to 24,788.25, 37,175.09 and 7,253.91

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Solution

The fourth proportional to 24,788.25, 37,175.09 and 7,253.91 is: 10,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,788.25 : 37,175.09 = 7,253.91 : x
  2. Step 2: Convert to fraction form
    24,788.25/37,175.09 = 7,253.91/x
  3. Step 3: Cross multiply
    24,788.25x = 37,175.09 × 7,253.91
  4. Step 4: Simplify right side
    24,788.25x = 269,664,720.83
  5. Step 5: Solve for x
    x = 269,664,720.83/24,788.25
  6. Step 6: Final answer
    x = 10,878.73

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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.