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Finding the Fourth Proportional to 17,853.76, 26,772.96 and 7,316.44

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Solution

The fourth proportional to 17,853.76, 26,772.96 and 7,316.44 is: 10,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.76 : 26,772.96 = 7,316.44 : x
  2. Step 2: Convert to fraction form
    17,853.76/26,772.96 = 7,316.44/x
  3. Step 3: Cross multiply
    17,853.76x = 26,772.96 × 7,316.44
  4. Step 4: Simplify right side
    17,853.76x = 195,882,755.46
  5. Step 5: Solve for x
    x = 195,882,755.46/17,853.76
  6. Step 6: Final answer
    x = 10,971.51

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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.