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Finding the Fourth Proportional to 12,983.14, 19,482 and 5,192.56

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Solution

The fourth proportional to 12,983.14, 19,482 and 5,192.56 is: 7,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.14 : 19,482 = 5,192.56 : x
  2. Step 2: Convert to fraction form
    12,983.14/19,482 = 5,192.56/x
  3. Step 3: Cross multiply
    12,983.14x = 19,482 × 5,192.56
  4. Step 4: Simplify right side
    12,983.14x = 101,161,453.92
  5. Step 5: Solve for x
    x = 101,161,453.92/12,983.14
  6. Step 6: Final answer
    x = 7,791.76

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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.