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Finding the Fourth Proportional to 13,504.54, 20,222.16 and 9,338.80

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Solution

The fourth proportional to 13,504.54, 20,222.16 and 9,338.80 is: 13,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.54 : 20,222.16 = 9,338.80 : x
  2. Step 2: Convert to fraction form
    13,504.54/20,222.16 = 9,338.80/x
  3. Step 3: Cross multiply
    13,504.54x = 20,222.16 × 9,338.80
  4. Step 4: Simplify right side
    13,504.54x = 188,850,707.81
  5. Step 5: Solve for x
    x = 188,850,707.81/13,504.54
  6. Step 6: Final answer
    x = 13,984.24

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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.