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Finding the Fourth Proportional to 24,233.22, 36,354.72 and 8,650.44

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Solution

The fourth proportional to 24,233.22, 36,354.72 and 8,650.44 is: 12,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,233.22 : 36,354.72 = 8,650.44 : x
  2. Step 2: Convert to fraction form
    24,233.22/36,354.72 = 8,650.44/x
  3. Step 3: Cross multiply
    24,233.22x = 36,354.72 × 8,650.44
  4. Step 4: Simplify right side
    24,233.22x = 314,484,324.08
  5. Step 5: Solve for x
    x = 314,484,324.08/24,233.22
  6. Step 6: Final answer
    x = 12,977.41

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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.