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Finding the Fourth Proportional to 24,186.33, 36,273.96 and 6,657.66

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Solution

The fourth proportional to 24,186.33, 36,273.96 and 6,657.66 is: 9,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186.33 : 36,273.96 = 6,657.66 : x
  2. Step 2: Convert to fraction form
    24,186.33/36,273.96 = 6,657.66/x
  3. Step 3: Cross multiply
    24,186.33x = 36,273.96 × 6,657.66
  4. Step 4: Simplify right side
    24,186.33x = 241,499,692.53
  5. Step 5: Solve for x
    x = 241,499,692.53/24,186.33
  6. Step 6: Final answer
    x = 9,984.97

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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.