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Finding the Fourth Proportional to 13,609.68, 20,395.38 and 10,823.99

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Solution

The fourth proportional to 13,609.68, 20,395.38 and 10,823.99 is: 16,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.68 : 20,395.38 = 10,823.99 : x
  2. Step 2: Convert to fraction form
    13,609.68/20,395.38 = 10,823.99/x
  3. Step 3: Cross multiply
    13,609.68x = 20,395.38 × 10,823.99
  4. Step 4: Simplify right side
    13,609.68x = 220,759,362.11
  5. Step 5: Solve for x
    x = 220,759,362.11/13,609.68
  6. Step 6: Final answer
    x = 16,220.76

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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.