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Finding the Fourth Proportional to 24,473.82, 36,692.77 and 7,824.27

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Solution

The fourth proportional to 24,473.82, 36,692.77 and 7,824.27 is: 11,730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473.82 : 36,692.77 = 7,824.27 : x
  2. Step 2: Convert to fraction form
    24,473.82/36,692.77 = 7,824.27/x
  3. Step 3: Cross multiply
    24,473.82x = 36,692.77 × 7,824.27
  4. Step 4: Simplify right side
    24,473.82x = 287,094,047.80
  5. Step 5: Solve for x
    x = 287,094,047.80/24,473.82
  6. Step 6: Final answer
    x = 11,730.66

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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.