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Finding the Fourth Proportional to 20,706.40, 31,069.20 and 10,856.80

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Solution

The fourth proportional to 20,706.40, 31,069.20 and 10,856.80 is: 16,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.40 : 31,069.20 = 10,856.80 : x
  2. Step 2: Convert to fraction form
    20,706.40/31,069.20 = 10,856.80/x
  3. Step 3: Cross multiply
    20,706.40x = 31,069.20 × 10,856.80
  4. Step 4: Simplify right side
    20,706.40x = 337,312,090.56
  5. Step 5: Solve for x
    x = 337,312,090.56/20,706.40
  6. Step 6: Final answer
    x = 16,290.23

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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.