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Finding the Fourth Proportional to 24,462.72, 36,692.64 and 8,046.72

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Solution

The fourth proportional to 24,462.72, 36,692.64 and 8,046.72 is: 12,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.72 : 36,692.64 = 8,046.72 : x
  2. Step 2: Convert to fraction form
    24,462.72/36,692.64 = 8,046.72/x
  3. Step 3: Cross multiply
    24,462.72x = 36,692.64 × 8,046.72
  4. Step 4: Simplify right side
    24,462.72x = 295,255,400.14
  5. Step 5: Solve for x
    x = 295,255,400.14/24,462.72
  6. Step 6: Final answer
    x = 12,069.61

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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.