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Finding the Fourth Proportional to 13,666.09, 20,499.23 and 3,806.10

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Solution

The fourth proportional to 13,666.09, 20,499.23 and 3,806.10 is: 5,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.09 : 20,499.23 = 3,806.10 : x
  2. Step 2: Convert to fraction form
    13,666.09/20,499.23 = 3,806.10/x
  3. Step 3: Cross multiply
    13,666.09x = 20,499.23 × 3,806.10
  4. Step 4: Simplify right side
    13,666.09x = 78,022,119.30
  5. Step 5: Solve for x
    x = 78,022,119.30/13,666.09
  6. Step 6: Final answer
    x = 5,709.18

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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.