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Finding the Fourth Proportional to 21,233.86, 31,850.74 and 5,651.49

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Solution

The fourth proportional to 21,233.86, 31,850.74 and 5,651.49 is: 8,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233.86 : 31,850.74 = 5,651.49 : x
  2. Step 2: Convert to fraction form
    21,233.86/31,850.74 = 5,651.49/x
  3. Step 3: Cross multiply
    21,233.86x = 31,850.74 × 5,651.49
  4. Step 4: Simplify right side
    21,233.86x = 180,004,138.60
  5. Step 5: Solve for x
    x = 180,004,138.60/21,233.86
  6. Step 6: Final answer
    x = 8,477.22

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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.