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Finding the Fourth Proportional to 20,797.56, 31,154.22 and 13,781.34

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Solution

The fourth proportional to 20,797.56, 31,154.22 and 13,781.34 is: 20,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.56 : 31,154.22 = 13,781.34 : x
  2. Step 2: Convert to fraction form
    20,797.56/31,154.22 = 13,781.34/x
  3. Step 3: Cross multiply
    20,797.56x = 31,154.22 × 13,781.34
  4. Step 4: Simplify right side
    20,797.56x = 429,346,898.25
  5. Step 5: Solve for x
    x = 429,346,898.25/20,797.56
  6. Step 6: Final answer
    x = 20,644.10

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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.