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Finding the Fourth Proportional to 13,504.29, 18,633.12 and 8,196.15

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Solution

The fourth proportional to 13,504.29, 18,633.12 and 8,196.15 is: 11,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.29 : 18,633.12 = 8,196.15 : x
  2. Step 2: Convert to fraction form
    13,504.29/18,633.12 = 8,196.15/x
  3. Step 3: Cross multiply
    13,504.29x = 18,633.12 × 8,196.15
  4. Step 4: Simplify right side
    13,504.29x = 152,719,846.49
  5. Step 5: Solve for x
    x = 152,719,846.49/13,504.29
  6. Step 6: Final answer
    x = 11,308.99

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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.