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Finding the Fourth Proportional to 24,231.22, 36,351.71 and 8,648.44

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Solution

The fourth proportional to 24,231.22, 36,351.71 and 8,648.44 is: 12,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.22 : 36,351.71 = 8,648.44 : x
  2. Step 2: Convert to fraction form
    24,231.22/36,351.71 = 8,648.44/x
  3. Step 3: Cross multiply
    24,231.22x = 36,351.71 × 8,648.44
  4. Step 4: Simplify right side
    24,231.22x = 314,385,582.83
  5. Step 5: Solve for x
    x = 314,385,582.83/24,231.22
  6. Step 6: Final answer
    x = 12,974.40

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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.