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Finding the Fourth Proportional to 20,806.36, 31,202.70 and 10,411

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Solution

The fourth proportional to 20,806.36, 31,202.70 and 10,411 is: 15,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.36 : 31,202.70 = 10,411 : x
  2. Step 2: Convert to fraction form
    20,806.36/31,202.70 = 10,411/x
  3. Step 3: Cross multiply
    20,806.36x = 31,202.70 × 10,411
  4. Step 4: Simplify right side
    20,806.36x = 324,851,309.70
  5. Step 5: Solve for x
    x = 324,851,309.70/20,806.36
  6. Step 6: Final answer
    x = 15,613.08

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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.