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Finding the Fourth Proportional to 12,715.50, 19,077.73 and 5,694.94

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Solution

The fourth proportional to 12,715.50, 19,077.73 and 5,694.94 is: 8,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.50 : 19,077.73 = 5,694.94 : x
  2. Step 2: Convert to fraction form
    12,715.50/19,077.73 = 5,694.94/x
  3. Step 3: Cross multiply
    12,715.50x = 19,077.73 × 5,694.94
  4. Step 4: Simplify right side
    12,715.50x = 108,646,527.69
  5. Step 5: Solve for x
    x = 108,646,527.69/12,715.50
  6. Step 6: Final answer
    x = 8,544.42

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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.