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Finding the Fourth Proportional to 13,832.83, 20,754.49 and 8,290.15

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Solution

The fourth proportional to 13,832.83, 20,754.49 and 8,290.15 is: 12,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.83 : 20,754.49 = 8,290.15 : x
  2. Step 2: Convert to fraction form
    13,832.83/20,754.49 = 8,290.15/x
  3. Step 3: Cross multiply
    13,832.83x = 20,754.49 × 8,290.15
  4. Step 4: Simplify right side
    13,832.83x = 172,057,894.95
  5. Step 5: Solve for x
    x = 172,057,894.95/13,832.83
  6. Step 6: Final answer
    x = 12,438.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.