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Finding the Fourth Proportional to 12,917.50, 19,379.50 and 3,683.50

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Solution

The fourth proportional to 12,917.50, 19,379.50 and 3,683.50 is: 5,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.50 : 19,379.50 = 3,683.50 : x
  2. Step 2: Convert to fraction form
    12,917.50/19,379.50 = 3,683.50/x
  3. Step 3: Cross multiply
    12,917.50x = 19,379.50 × 3,683.50
  4. Step 4: Simplify right side
    12,917.50x = 71,384,388.25
  5. Step 5: Solve for x
    x = 71,384,388.25/12,917.50
  6. Step 6: Final answer
    x = 5,526.18

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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.