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Finding the Fourth Proportional to 17,540.68, 26,314.46 and 6,447.46

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Solution

The fourth proportional to 17,540.68, 26,314.46 and 6,447.46 is: 9,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.68 : 26,314.46 = 6,447.46 : x
  2. Step 2: Convert to fraction form
    17,540.68/26,314.46 = 6,447.46/x
  3. Step 3: Cross multiply
    17,540.68x = 26,314.46 × 6,447.46
  4. Step 4: Simplify right side
    17,540.68x = 169,661,428.27
  5. Step 5: Solve for x
    x = 169,661,428.27/17,540.68
  6. Step 6: Final answer
    x = 9,672.45

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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.