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Finding the Fourth Proportional to 13,906.83, 19,176.04 and 8,863.06

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Solution

The fourth proportional to 13,906.83, 19,176.04 and 8,863.06 is: 12,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.83 : 19,176.04 = 8,863.06 : x
  2. Step 2: Convert to fraction form
    13,906.83/19,176.04 = 8,863.06/x
  3. Step 3: Cross multiply
    13,906.83x = 19,176.04 × 8,863.06
  4. Step 4: Simplify right side
    13,906.83x = 169,958,393.08
  5. Step 5: Solve for x
    x = 169,958,393.08/13,906.83
  6. Step 6: Final answer
    x = 12,221.22

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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.