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Finding the Fourth Proportional to 13,137.29, 18,128.74 and 7,471.27

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Solution

The fourth proportional to 13,137.29, 18,128.74 and 7,471.27 is: 10,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.29 : 18,128.74 = 7,471.27 : x
  2. Step 2: Convert to fraction form
    13,137.29/18,128.74 = 7,471.27/x
  3. Step 3: Cross multiply
    13,137.29x = 18,128.74 × 7,471.27
  4. Step 4: Simplify right side
    13,137.29x = 135,444,711.30
  5. Step 5: Solve for x
    x = 135,444,711.30/13,137.29
  6. Step 6: Final answer
    x = 10,309.94

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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.