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Finding the Fourth Proportional to 13,601.70, 18,769.86 and 7,633.62

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Solution

The fourth proportional to 13,601.70, 18,769.86 and 7,633.62 is: 10,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.70 : 18,769.86 = 7,633.62 : x
  2. Step 2: Convert to fraction form
    13,601.70/18,769.86 = 7,633.62/x
  3. Step 3: Cross multiply
    13,601.70x = 18,769.86 × 7,633.62
  4. Step 4: Simplify right side
    13,601.70x = 143,281,978.69
  5. Step 5: Solve for x
    x = 143,281,978.69/13,601.70
  6. Step 6: Final answer
    x = 10,534.12

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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.