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Finding the Fourth Proportional to 13,189.45, 18,200.86 and 7,221.24

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Solution

The fourth proportional to 13,189.45, 18,200.86 and 7,221.24 is: 9,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.45 : 18,200.86 = 7,221.24 : x
  2. Step 2: Convert to fraction form
    13,189.45/18,200.86 = 7,221.24/x
  3. Step 3: Cross multiply
    13,189.45x = 18,200.86 × 7,221.24
  4. Step 4: Simplify right side
    13,189.45x = 131,432,778.27
  5. Step 5: Solve for x
    x = 131,432,778.27/13,189.45
  6. Step 6: Final answer
    x = 9,964.99

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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.