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Finding the Fourth Proportional to 13,187.63, 18,201.09 and 7,601.87

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Solution

The fourth proportional to 13,187.63, 18,201.09 and 7,601.87 is: 10,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.63 : 18,201.09 = 7,601.87 : x
  2. Step 2: Convert to fraction form
    13,187.63/18,201.09 = 7,601.87/x
  3. Step 3: Cross multiply
    13,187.63x = 18,201.09 × 7,601.87
  4. Step 4: Simplify right side
    13,187.63x = 138,362,229.03
  5. Step 5: Solve for x
    x = 138,362,229.03/13,187.63
  6. Step 6: Final answer
    x = 10,491.82

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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.