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Finding the Fourth Proportional to 24,241.67, 36,362.43 and 7,601.64

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Solution

The fourth proportional to 24,241.67, 36,362.43 and 7,601.64 is: 11,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,241.67 : 36,362.43 = 7,601.64 : x
  2. Step 2: Convert to fraction form
    24,241.67/36,362.43 = 7,601.64/x
  3. Step 3: Cross multiply
    24,241.67x = 36,362.43 × 7,601.64
  4. Step 4: Simplify right side
    24,241.67x = 276,414,102.39
  5. Step 5: Solve for x
    x = 276,414,102.39/24,241.67
  6. Step 6: Final answer
    x = 11,402.44

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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.