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Finding the Fourth Proportional to 13,836.09, 20,754.09 and 8,291.10

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Solution

The fourth proportional to 13,836.09, 20,754.09 and 8,291.10 is: 12,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.09 : 20,754.09 = 8,291.10 : x
  2. Step 2: Convert to fraction form
    13,836.09/20,754.09 = 8,291.10/x
  3. Step 3: Cross multiply
    13,836.09x = 20,754.09 × 8,291.10
  4. Step 4: Simplify right side
    13,836.09x = 172,074,235.60
  5. Step 5: Solve for x
    x = 172,074,235.60/13,836.09
  6. Step 6: Final answer
    x = 12,436.62

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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.