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Finding the Fourth Proportional to 20,741.96, 31,122.96 and 10,206.29

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Solution

The fourth proportional to 20,741.96, 31,122.96 and 10,206.29 is: 15,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,741.96 : 31,122.96 = 10,206.29 : x
  2. Step 2: Convert to fraction form
    20,741.96/31,122.96 = 10,206.29/x
  3. Step 3: Cross multiply
    20,741.96x = 31,122.96 × 10,206.29
  4. Step 4: Simplify right side
    20,741.96x = 317,649,799.80
  5. Step 5: Solve for x
    x = 317,649,799.80/20,741.96
  6. Step 6: Final answer
    x = 15,314.36

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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.