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Finding the Fourth Proportional to 13,142.86, 19,716.52 and 5,747.16

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Solution

The fourth proportional to 13,142.86, 19,716.52 and 5,747.16 is: 8,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.86 : 19,716.52 = 5,747.16 : x
  2. Step 2: Convert to fraction form
    13,142.86/19,716.52 = 5,747.16/x
  3. Step 3: Cross multiply
    13,142.86x = 19,716.52 × 5,747.16
  4. Step 4: Simplify right side
    13,142.86x = 113,313,882.13
  5. Step 5: Solve for x
    x = 113,313,882.13/13,142.86
  6. Step 6: Final answer
    x = 8,621.71

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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.