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Finding the Fourth Proportional to 13,040.76, 19,560.94 and 5,249.38

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Solution

The fourth proportional to 13,040.76, 19,560.94 and 5,249.38 is: 7,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.76 : 19,560.94 = 5,249.38 : x
  2. Step 2: Convert to fraction form
    13,040.76/19,560.94 = 5,249.38/x
  3. Step 3: Cross multiply
    13,040.76x = 19,560.94 × 5,249.38
  4. Step 4: Simplify right side
    13,040.76x = 102,682,807.22
  5. Step 5: Solve for x
    x = 102,682,807.22/13,040.76
  6. Step 6: Final answer
    x = 7,873.99

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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.