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Finding the Fourth Proportional to 17,797.68, 26,698.34 and 6,109.38

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Solution

The fourth proportional to 17,797.68, 26,698.34 and 6,109.38 is: 9,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.68 : 26,698.34 = 6,109.38 : x
  2. Step 2: Convert to fraction form
    17,797.68/26,698.34 = 6,109.38/x
  3. Step 3: Cross multiply
    17,797.68x = 26,698.34 × 6,109.38
  4. Step 4: Simplify right side
    17,797.68x = 163,110,304.43
  5. Step 5: Solve for x
    x = 163,110,304.43/17,797.68
  6. Step 6: Final answer
    x = 9,164.69

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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.