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Finding the Fourth Proportional to 13,028.40, 19,544.40 and 5,129.40

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Solution

The fourth proportional to 13,028.40, 19,544.40 and 5,129.40 is: 7,694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.40 : 19,544.40 = 5,129.40 : x
  2. Step 2: Convert to fraction form
    13,028.40/19,544.40 = 5,129.40/x
  3. Step 3: Cross multiply
    13,028.40x = 19,544.40 × 5,129.40
  4. Step 4: Simplify right side
    13,028.40x = 100,251,045.36
  5. Step 5: Solve for x
    x = 100,251,045.36/13,028.40
  6. Step 6: Final answer
    x = 7,694.81

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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.