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Finding the Fourth Proportional to 20,157.19, 27,814.71 and 11,658.03

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Solution

The fourth proportional to 20,157.19, 27,814.71 and 11,658.03 is: 16,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.19 : 27,814.71 = 11,658.03 : x
  2. Step 2: Convert to fraction form
    20,157.19/27,814.71 = 11,658.03/x
  3. Step 3: Cross multiply
    20,157.19x = 27,814.71 × 11,658.03
  4. Step 4: Simplify right side
    20,157.19x = 324,264,723.62
  5. Step 5: Solve for x
    x = 324,264,723.62/20,157.19
  6. Step 6: Final answer
    x = 16,086.80

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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.