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Finding the Fourth Proportional to 17,698.14, 26,523.62 and 6,593.66

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Solution

The fourth proportional to 17,698.14, 26,523.62 and 6,593.66 is: 9,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.14 : 26,523.62 = 6,593.66 : x
  2. Step 2: Convert to fraction form
    17,698.14/26,523.62 = 6,593.66/x
  3. Step 3: Cross multiply
    17,698.14x = 26,523.62 × 6,593.66
  4. Step 4: Simplify right side
    17,698.14x = 174,887,566.66
  5. Step 5: Solve for x
    x = 174,887,566.66/17,698.14
  6. Step 6: Final answer
    x = 9,881.69

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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.