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Finding the Fourth Proportional to 12,917.46, 19,375.68 and 3,683.46

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Solution

The fourth proportional to 12,917.46, 19,375.68 and 3,683.46 is: 5,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.46 : 19,375.68 = 3,683.46 : x
  2. Step 2: Convert to fraction form
    12,917.46/19,375.68 = 3,683.46/x
  3. Step 3: Cross multiply
    12,917.46x = 19,375.68 × 3,683.46
  4. Step 4: Simplify right side
    12,917.46x = 71,369,542.25
  5. Step 5: Solve for x
    x = 71,369,542.25/12,917.46
  6. Step 6: Final answer
    x = 5,525.04

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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.