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Finding the Fourth Proportional to 13,138.29, 18,127.76 and 7,471.73

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Solution

The fourth proportional to 13,138.29, 18,127.76 and 7,471.73 is: 10,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.29 : 18,127.76 = 7,471.73 : x
  2. Step 2: Convert to fraction form
    13,138.29/18,127.76 = 7,471.73/x
  3. Step 3: Cross multiply
    13,138.29x = 18,127.76 × 7,471.73
  4. Step 4: Simplify right side
    13,138.29x = 135,445,736.19
  5. Step 5: Solve for x
    x = 135,445,736.19/13,138.29
  6. Step 6: Final answer
    x = 10,309.24

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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.