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Finding the Fourth Proportional to 12,812.92, 17,683.26 and 7,512.22

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Solution

The fourth proportional to 12,812.92, 17,683.26 and 7,512.22 is: 10,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.92 : 17,683.26 = 7,512.22 : x
  2. Step 2: Convert to fraction form
    12,812.92/17,683.26 = 7,512.22/x
  3. Step 3: Cross multiply
    12,812.92x = 17,683.26 × 7,512.22
  4. Step 4: Simplify right side
    12,812.92x = 132,840,539.44
  5. Step 5: Solve for x
    x = 132,840,539.44/12,812.92
  6. Step 6: Final answer
    x = 10,367.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.