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Finding the Fourth Proportional to 23,812.71, 32,861.39 and 13,202.34

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Solution

The fourth proportional to 23,812.71, 32,861.39 and 13,202.34 is: 18,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.71 : 32,861.39 = 13,202.34 : x
  2. Step 2: Convert to fraction form
    23,812.71/32,861.39 = 13,202.34/x
  3. Step 3: Cross multiply
    23,812.71x = 32,861.39 × 13,202.34
  4. Step 4: Simplify right side
    23,812.71x = 433,847,177.64
  5. Step 5: Solve for x
    x = 433,847,177.64/23,812.71
  6. Step 6: Final answer
    x = 18,219.14

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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.