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Finding the Fourth Proportional to 24,462.75, 36,692.85 and 6,932.64

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Solution

The fourth proportional to 24,462.75, 36,692.85 and 6,932.64 is: 10,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.75 : 36,692.85 = 6,932.64 : x
  2. Step 2: Convert to fraction form
    24,462.75/36,692.85 = 6,932.64/x
  3. Step 3: Cross multiply
    24,462.75x = 36,692.85 × 6,932.64
  4. Step 4: Simplify right side
    24,462.75x = 254,378,319.62
  5. Step 5: Solve for x
    x = 254,378,319.62/24,462.75
  6. Step 6: Final answer
    x = 10,398.60

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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.