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Finding the Fourth Proportional to 21,241.56, 31,861.50 and 7,202.64

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Solution

The fourth proportional to 21,241.56, 31,861.50 and 7,202.64 is: 10,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,241.56 : 31,861.50 = 7,202.64 : x
  2. Step 2: Convert to fraction form
    21,241.56/31,861.50 = 7,202.64/x
  3. Step 3: Cross multiply
    21,241.56x = 31,861.50 × 7,202.64
  4. Step 4: Simplify right side
    21,241.56x = 229,486,914.36
  5. Step 5: Solve for x
    x = 229,486,914.36/21,241.56
  6. Step 6: Final answer
    x = 10,803.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.