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Finding the Fourth Proportional to 17,513.82, 26,262.09 and 6,412.14

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Solution

The fourth proportional to 17,513.82, 26,262.09 and 6,412.14 is: 9,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,513.82 : 26,262.09 = 6,412.14 : x
  2. Step 2: Convert to fraction form
    17,513.82/26,262.09 = 6,412.14/x
  3. Step 3: Cross multiply
    17,513.82x = 26,262.09 × 6,412.14
  4. Step 4: Simplify right side
    17,513.82x = 168,396,197.77
  5. Step 5: Solve for x
    x = 168,396,197.77/17,513.82
  6. Step 6: Final answer
    x = 9,615.05

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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.