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Finding the Fourth Proportional to 13,684.30, 18,884.52 and 8,305.19

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Solution

The fourth proportional to 13,684.30, 18,884.52 and 8,305.19 is: 11,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.30 : 18,884.52 = 8,305.19 : x
  2. Step 2: Convert to fraction form
    13,684.30/18,884.52 = 8,305.19/x
  3. Step 3: Cross multiply
    13,684.30x = 18,884.52 × 8,305.19
  4. Step 4: Simplify right side
    13,684.30x = 156,839,553.11
  5. Step 5: Solve for x
    x = 156,839,553.11/13,684.30
  6. Step 6: Final answer
    x = 11,461.28

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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.