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Finding the Fourth Proportional to 24,464.46, 36,697.50 and 7,826.28

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Solution

The fourth proportional to 24,464.46, 36,697.50 and 7,826.28 is: 11,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.46 : 36,697.50 = 7,826.28 : x
  2. Step 2: Convert to fraction form
    24,464.46/36,697.50 = 7,826.28/x
  3. Step 3: Cross multiply
    24,464.46x = 36,697.50 × 7,826.28
  4. Step 4: Simplify right side
    24,464.46x = 287,204,910.30
  5. Step 5: Solve for x
    x = 287,204,910.30/24,464.46
  6. Step 6: Final answer
    x = 11,739.68

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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.