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Finding the Fourth Proportional to 13,742.22, 18,969.14 and 8,362.20

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Solution

The fourth proportional to 13,742.22, 18,969.14 and 8,362.20 is: 11,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.22 : 18,969.14 = 8,362.20 : x
  2. Step 2: Convert to fraction form
    13,742.22/18,969.14 = 8,362.20/x
  3. Step 3: Cross multiply
    13,742.22x = 18,969.14 × 8,362.20
  4. Step 4: Simplify right side
    13,742.22x = 158,623,834.55
  5. Step 5: Solve for x
    x = 158,623,834.55/13,742.22
  6. Step 6: Final answer
    x = 11,542.81

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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.