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Finding the Fourth Proportional to 20,157.74, 27,846.14 and 16,151.18

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Solution

The fourth proportional to 20,157.74, 27,846.14 and 16,151.18 is: 22,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.74 : 27,846.14 = 16,151.18 : x
  2. Step 2: Convert to fraction form
    20,157.74/27,846.14 = 16,151.18/x
  3. Step 3: Cross multiply
    20,157.74x = 27,846.14 × 16,151.18
  4. Step 4: Simplify right side
    20,157.74x = 449,748,008.30
  5. Step 5: Solve for x
    x = 449,748,008.30/20,157.74
  6. Step 6: Final answer
    x = 22,311.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.