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Finding the Fourth Proportional to 17,189.80, 25,785.36 and 5,344.80

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Solution

The fourth proportional to 17,189.80, 25,785.36 and 5,344.80 is: 8,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.80 : 25,785.36 = 5,344.80 : x
  2. Step 2: Convert to fraction form
    17,189.80/25,785.36 = 5,344.80/x
  3. Step 3: Cross multiply
    17,189.80x = 25,785.36 × 5,344.80
  4. Step 4: Simplify right side
    17,189.80x = 137,817,592.13
  5. Step 5: Solve for x
    x = 137,817,592.13/17,189.80
  6. Step 6: Final answer
    x = 8,017.41

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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.