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Finding the Fourth Proportional to 17,606.46, 26,408.10 and 6,513.24

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Solution

The fourth proportional to 17,606.46, 26,408.10 and 6,513.24 is: 9,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,606.46 : 26,408.10 = 6,513.24 : x
  2. Step 2: Convert to fraction form
    17,606.46/26,408.10 = 6,513.24/x
  3. Step 3: Cross multiply
    17,606.46x = 26,408.10 × 6,513.24
  4. Step 4: Simplify right side
    17,606.46x = 172,002,293.24
  5. Step 5: Solve for x
    x = 172,002,293.24/17,606.46
  6. Step 6: Final answer
    x = 9,769.27

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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.