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Finding the Fourth Proportional to 13,450.78, 20,171.28 and 5,133.10

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Solution

The fourth proportional to 13,450.78, 20,171.28 and 5,133.10 is: 7,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.78 : 20,171.28 = 5,133.10 : x
  2. Step 2: Convert to fraction form
    13,450.78/20,171.28 = 5,133.10/x
  3. Step 3: Cross multiply
    13,450.78x = 20,171.28 × 5,133.10
  4. Step 4: Simplify right side
    13,450.78x = 103,541,197.37
  5. Step 5: Solve for x
    x = 103,541,197.37/13,450.78
  6. Step 6: Final answer
    x = 7,697.78

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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.