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Finding the Fourth Proportional to 12,863.29, 17,741.32 and 8,613

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Solution

The fourth proportional to 12,863.29, 17,741.32 and 8,613 is: 11,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.29 : 17,741.32 = 8,613 : x
  2. Step 2: Convert to fraction form
    12,863.29/17,741.32 = 8,613/x
  3. Step 3: Cross multiply
    12,863.29x = 17,741.32 × 8,613
  4. Step 4: Simplify right side
    12,863.29x = 152,805,989.16
  5. Step 5: Solve for x
    x = 152,805,989.16/12,863.29
  6. Step 6: Final answer
    x = 11,879.23

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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.