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Finding the Fourth Proportional to 17,642.58, 26,458.56 and 7,109.22

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Solution

The fourth proportional to 17,642.58, 26,458.56 and 7,109.22 is: 10,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.58 : 26,458.56 = 7,109.22 : x
  2. Step 2: Convert to fraction form
    17,642.58/26,458.56 = 7,109.22/x
  3. Step 3: Cross multiply
    17,642.58x = 26,458.56 × 7,109.22
  4. Step 4: Simplify right side
    17,642.58x = 188,099,723.92
  5. Step 5: Solve for x
    x = 188,099,723.92/17,642.58
  6. Step 6: Final answer
    x = 10,661.69

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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.