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Finding the Fourth Proportional to 13,965.94, 20,949.51 and 3,971.38

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Solution

The fourth proportional to 13,965.94, 20,949.51 and 3,971.38 is: 5,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.94 : 20,949.51 = 3,971.38 : x
  2. Step 2: Convert to fraction form
    13,965.94/20,949.51 = 3,971.38/x
  3. Step 3: Cross multiply
    13,965.94x = 20,949.51 × 3,971.38
  4. Step 4: Simplify right side
    13,965.94x = 83,198,465.02
  5. Step 5: Solve for x
    x = 83,198,465.02/13,965.94
  6. Step 6: Final answer
    x = 5,957.24

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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.