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Finding the Fourth Proportional to 20,956.40, 31,402.20 and 14,022.80

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Solution

The fourth proportional to 20,956.40, 31,402.20 and 14,022.80 is: 21,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,956.40 : 31,402.20 = 14,022.80 : x
  2. Step 2: Convert to fraction form
    20,956.40/31,402.20 = 14,022.80/x
  3. Step 3: Cross multiply
    20,956.40x = 31,402.20 × 14,022.80
  4. Step 4: Simplify right side
    20,956.40x = 440,346,770.16
  5. Step 5: Solve for x
    x = 440,346,770.16/20,956.40
  6. Step 6: Final answer
    x = 21,012.52

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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.