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Finding the Fourth Proportional to 17,200.49, 25,793.37 and 7,837.70

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Solution

The fourth proportional to 17,200.49, 25,793.37 and 7,837.70 is: 11,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.49 : 25,793.37 = 7,837.70 : x
  2. Step 2: Convert to fraction form
    17,200.49/25,793.37 = 7,837.70/x
  3. Step 3: Cross multiply
    17,200.49x = 25,793.37 × 7,837.70
  4. Step 4: Simplify right side
    17,200.49x = 202,160,567.08
  5. Step 5: Solve for x
    x = 202,160,567.08/17,200.49
  6. Step 6: Final answer
    x = 11,753.19

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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.