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Finding the Fourth Proportional to 22,769.28, 31,410.72 and 13,209.12

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Solution

The fourth proportional to 22,769.28, 31,410.72 and 13,209.12 is: 18,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.28 : 31,410.72 = 13,209.12 : x
  2. Step 2: Convert to fraction form
    22,769.28/31,410.72 = 13,209.12/x
  3. Step 3: Cross multiply
    22,769.28x = 31,410.72 × 13,209.12
  4. Step 4: Simplify right side
    22,769.28x = 414,907,969.77
  5. Step 5: Solve for x
    x = 414,907,969.77/22,769.28
  6. Step 6: Final answer
    x = 18,222.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.