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Finding the Fourth Proportional to 11,672.40, 17,489.40 and 9,944.40

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Solution

The fourth proportional to 11,672.40, 17,489.40 and 9,944.40 is: 14,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.40 : 17,489.40 = 9,944.40 : x
  2. Step 2: Convert to fraction form
    11,672.40/17,489.40 = 9,944.40/x
  3. Step 3: Cross multiply
    11,672.40x = 17,489.40 × 9,944.40
  4. Step 4: Simplify right side
    11,672.40x = 173,921,589.36
  5. Step 5: Solve for x
    x = 173,921,589.36/11,672.40
  6. Step 6: Final answer
    x = 14,900.24

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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.