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Finding the Fourth Proportional to 11,754.20, 17,631.22 and 2,989

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Solution

The fourth proportional to 11,754.20, 17,631.22 and 2,989 is: 4,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.20 : 17,631.22 = 2,989 : x
  2. Step 2: Convert to fraction form
    11,754.20/17,631.22 = 2,989/x
  3. Step 3: Cross multiply
    11,754.20x = 17,631.22 × 2,989
  4. Step 4: Simplify right side
    11,754.20x = 52,699,716.58
  5. Step 5: Solve for x
    x = 52,699,716.58/11,754.20
  6. Step 6: Final answer
    x = 4,483.48

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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.