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Finding the Fourth Proportional to 13,189.85, 18,202.21 and 7,221.42

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Solution

The fourth proportional to 13,189.85, 18,202.21 and 7,221.42 is: 9,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.85 : 18,202.21 = 7,221.42 : x
  2. Step 2: Convert to fraction form
    13,189.85/18,202.21 = 7,221.42/x
  3. Step 3: Cross multiply
    13,189.85x = 18,202.21 × 7,221.42
  4. Step 4: Simplify right side
    13,189.85x = 131,445,803.34
  5. Step 5: Solve for x
    x = 131,445,803.34/13,189.85
  6. Step 6: Final answer
    x = 9,965.68

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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.