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Finding the Fourth Proportional to 13,921.80, 20,834.10 and 9,742.20

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Solution

The fourth proportional to 13,921.80, 20,834.10 and 9,742.20 is: 14,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.80 : 20,834.10 = 9,742.20 : x
  2. Step 2: Convert to fraction form
    13,921.80/20,834.10 = 9,742.20/x
  3. Step 3: Cross multiply
    13,921.80x = 20,834.10 × 9,742.20
  4. Step 4: Simplify right side
    13,921.80x = 202,969,969.02
  5. Step 5: Solve for x
    x = 202,969,969.02/13,921.80
  6. Step 6: Final answer
    x = 14,579.29

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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.