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Finding the Fourth Proportional to 12,677.92, 19,019.52 and 3,912.64

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Solution

The fourth proportional to 12,677.92, 19,019.52 and 3,912.64 is: 5,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.92 : 19,019.52 = 3,912.64 : x
  2. Step 2: Convert to fraction form
    12,677.92/19,019.52 = 3,912.64/x
  3. Step 3: Cross multiply
    12,677.92x = 19,019.52 × 3,912.64
  4. Step 4: Simplify right side
    12,677.92x = 74,416,534.73
  5. Step 5: Solve for x
    x = 74,416,534.73/12,677.92
  6. Step 6: Final answer
    x = 5,869.77

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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.