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Finding the Fourth Proportional to 12,917.96, 19,376.43 and 3,683.96

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Solution

The fourth proportional to 12,917.96, 19,376.43 and 3,683.96 is: 5,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.96 : 19,376.43 = 3,683.96 : x
  2. Step 2: Convert to fraction form
    12,917.96/19,376.43 = 3,683.96/x
  3. Step 3: Cross multiply
    12,917.96x = 19,376.43 × 3,683.96
  4. Step 4: Simplify right side
    12,917.96x = 71,381,993.06
  5. Step 5: Solve for x
    x = 71,381,993.06/12,917.96
  6. Step 6: Final answer
    x = 5,525.79

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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.