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Finding the Fourth Proportional to 12,813.35, 17,675.16 and 8,089.43

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Solution

The fourth proportional to 12,813.35, 17,675.16 and 8,089.43 is: 11,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.35 : 17,675.16 = 8,089.43 : x
  2. Step 2: Convert to fraction form
    12,813.35/17,675.16 = 8,089.43/x
  3. Step 3: Cross multiply
    12,813.35x = 17,675.16 × 8,089.43
  4. Step 4: Simplify right side
    12,813.35x = 142,981,969.56
  5. Step 5: Solve for x
    x = 142,981,969.56/12,813.35
  6. Step 6: Final answer
    x = 11,158.83

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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.