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Finding the Fourth Proportional to 13,512.92, 18,649.70 and 7,544.97

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Solution

The fourth proportional to 13,512.92, 18,649.70 and 7,544.97 is: 10,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.92 : 18,649.70 = 7,544.97 : x
  2. Step 2: Convert to fraction form
    13,512.92/18,649.70 = 7,544.97/x
  3. Step 3: Cross multiply
    13,512.92x = 18,649.70 × 7,544.97
  4. Step 4: Simplify right side
    13,512.92x = 140,711,427.01
  5. Step 5: Solve for x
    x = 140,711,427.01/13,512.92
  6. Step 6: Final answer
    x = 10,413.10

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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.