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Finding the Fourth Proportional to 13,465.94, 20,171.37 and 10,976

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Solution

The fourth proportional to 13,465.94, 20,171.37 and 10,976 is: 16,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.94 : 20,171.37 = 10,976 : x
  2. Step 2: Convert to fraction form
    13,465.94/20,171.37 = 10,976/x
  3. Step 3: Cross multiply
    13,465.94x = 20,171.37 × 10,976
  4. Step 4: Simplify right side
    13,465.94x = 221,400,957.12
  5. Step 5: Solve for x
    x = 221,400,957.12/13,465.94
  6. Step 6: Final answer
    x = 16,441.55

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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.