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Finding the Fourth Proportional to 17,022.15, 25,523.91 and 9,514.26

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Solution

The fourth proportional to 17,022.15, 25,523.91 and 9,514.26 is: 14,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.15 : 25,523.91 = 9,514.26 : x
  2. Step 2: Convert to fraction form
    17,022.15/25,523.91 = 9,514.26/x
  3. Step 3: Cross multiply
    17,022.15x = 25,523.91 × 9,514.26
  4. Step 4: Simplify right side
    17,022.15x = 242,841,115.96
  5. Step 5: Solve for x
    x = 242,841,115.96/17,022.15
  6. Step 6: Final answer
    x = 14,266.18

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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.