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Finding the Fourth Proportional to 13,601.14, 18,769.53 and 7,632.84

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Solution

The fourth proportional to 13,601.14, 18,769.53 and 7,632.84 is: 10,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.14 : 18,769.53 = 7,632.84 : x
  2. Step 2: Convert to fraction form
    13,601.14/18,769.53 = 7,632.84/x
  3. Step 3: Cross multiply
    13,601.14x = 18,769.53 × 7,632.84
  4. Step 4: Simplify right side
    13,601.14x = 143,264,819.37
  5. Step 5: Solve for x
    x = 143,264,819.37/13,601.14
  6. Step 6: Final answer
    x = 10,533.29

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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.