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Finding the Fourth Proportional to 12,754.46, 19,131.73 and 3,869.86

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Solution

The fourth proportional to 12,754.46, 19,131.73 and 3,869.86 is: 5,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.46 : 19,131.73 = 3,869.86 : x
  2. Step 2: Convert to fraction form
    12,754.46/19,131.73 = 3,869.86/x
  3. Step 3: Cross multiply
    12,754.46x = 19,131.73 × 3,869.86
  4. Step 4: Simplify right side
    12,754.46x = 74,037,217.76
  5. Step 5: Solve for x
    x = 74,037,217.76/12,754.46
  6. Step 6: Final answer
    x = 5,804.81

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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.