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Finding the Fourth Proportional to 12,694.56, 19,037.38 and 3,807.24

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Solution

The fourth proportional to 12,694.56, 19,037.38 and 3,807.24 is: 5,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.56 : 19,037.38 = 3,807.24 : x
  2. Step 2: Convert to fraction form
    12,694.56/19,037.38 = 3,807.24/x
  3. Step 3: Cross multiply
    12,694.56x = 19,037.38 × 3,807.24
  4. Step 4: Simplify right side
    12,694.56x = 72,479,874.63
  5. Step 5: Solve for x
    x = 72,479,874.63/12,694.56
  6. Step 6: Final answer
    x = 5,709.52

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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.