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Finding the Fourth Proportional to 14,517.16, 20,041.89 and 11,107.76

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Solution

The fourth proportional to 14,517.16, 20,041.89 and 11,107.76 is: 15,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.16 : 20,041.89 = 11,107.76 : x
  2. Step 2: Convert to fraction form
    14,517.16/20,041.89 = 11,107.76/x
  3. Step 3: Cross multiply
    14,517.16x = 20,041.89 × 11,107.76
  4. Step 4: Simplify right side
    14,517.16x = 222,620,504.07
  5. Step 5: Solve for x
    x = 222,620,504.07/14,517.16
  6. Step 6: Final answer
    x = 15,334.99

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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.