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Finding the Fourth Proportional to 24,231.40, 36,342.87 and 6,462.28

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Solution

The fourth proportional to 24,231.40, 36,342.87 and 6,462.28 is: 9,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.40 : 36,342.87 = 6,462.28 : x
  2. Step 2: Convert to fraction form
    24,231.40/36,342.87 = 6,462.28/x
  3. Step 3: Cross multiply
    24,231.40x = 36,342.87 × 6,462.28
  4. Step 4: Simplify right side
    24,231.40x = 234,857,801.94
  5. Step 5: Solve for x
    x = 234,857,801.94/24,231.40
  6. Step 6: Final answer
    x = 9,692.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.