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Finding the Fourth Proportional to 17,226, 25,839.20 and 5,539.20

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Solution

The fourth proportional to 17,226, 25,839.20 and 5,539.20 is: 8,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,226 : 25,839.20 = 5,539.20 : x
  2. Step 2: Convert to fraction form
    17,226/25,839.20 = 5,539.20/x
  3. Step 3: Cross multiply
    17,226x = 25,839.20 × 5,539.20
  4. Step 4: Simplify right side
    17,226x = 143,128,496.64
  5. Step 5: Solve for x
    x = 143,128,496.64/17,226
  6. Step 6: Final answer
    x = 8,308.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.