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Finding the Fourth Proportional to 22,431.12, 33,651.63 and 6,849.96

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Solution

The fourth proportional to 22,431.12, 33,651.63 and 6,849.96 is: 10,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.12 : 33,651.63 = 6,849.96 : x
  2. Step 2: Convert to fraction form
    22,431.12/33,651.63 = 6,849.96/x
  3. Step 3: Cross multiply
    22,431.12x = 33,651.63 × 6,849.96
  4. Step 4: Simplify right side
    22,431.12x = 230,512,319.43
  5. Step 5: Solve for x
    x = 230,512,319.43/22,431.12
  6. Step 6: Final answer
    x = 10,276.45

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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.