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Finding the Fourth Proportional to 12,581.85, 17,363.64 and 7,131.09

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Solution

The fourth proportional to 12,581.85, 17,363.64 and 7,131.09 is: 9,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.85 : 17,363.64 = 7,131.09 : x
  2. Step 2: Convert to fraction form
    12,581.85/17,363.64 = 7,131.09/x
  3. Step 3: Cross multiply
    12,581.85x = 17,363.64 × 7,131.09
  4. Step 4: Simplify right side
    12,581.85x = 123,821,679.57
  5. Step 5: Solve for x
    x = 123,821,679.57/12,581.85
  6. Step 6: Final answer
    x = 9,841.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.