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Finding the Fourth Proportional to 20,866.20, 31,241.70 and 16,258.20

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Solution

The fourth proportional to 20,866.20, 31,241.70 and 16,258.20 is: 24,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.20 : 31,241.70 = 16,258.20 : x
  2. Step 2: Convert to fraction form
    20,866.20/31,241.70 = 16,258.20/x
  3. Step 3: Cross multiply
    20,866.20x = 31,241.70 × 16,258.20
  4. Step 4: Simplify right side
    20,866.20x = 507,933,806.94
  5. Step 5: Solve for x
    x = 507,933,806.94/20,866.20
  6. Step 6: Final answer
    x = 24,342.42

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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.