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Finding the Fourth Proportional to 24,317.73, 36,486.11 and 9,524.09

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Solution

The fourth proportional to 24,317.73, 36,486.11 and 9,524.09 is: 14,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,317.73 : 36,486.11 = 9,524.09 : x
  2. Step 2: Convert to fraction form
    24,317.73/36,486.11 = 9,524.09/x
  3. Step 3: Cross multiply
    24,317.73x = 36,486.11 × 9,524.09
  4. Step 4: Simplify right side
    24,317.73x = 347,497,110.42
  5. Step 5: Solve for x
    x = 347,497,110.42/24,317.73
  6. Step 6: Final answer
    x = 14,289.87

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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.