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Finding the Fourth Proportional to 13,601.41, 18,769.94 and 7,633.63

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Solution

The fourth proportional to 13,601.41, 18,769.94 and 7,633.63 is: 10,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.41 : 18,769.94 = 7,633.63 : x
  2. Step 2: Convert to fraction form
    13,601.41/18,769.94 = 7,633.63/x
  3. Step 3: Cross multiply
    13,601.41x = 18,769.94 × 7,633.63
  4. Step 4: Simplify right side
    13,601.41x = 143,282,777.08
  5. Step 5: Solve for x
    x = 143,282,777.08/13,601.41
  6. Step 6: Final answer
    x = 10,534.41

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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.