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Finding the Fourth Proportional to 19,777.32, 27,294.53 and 11,819.37

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Solution

The fourth proportional to 19,777.32, 27,294.53 and 11,819.37 is: 16,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.32 : 27,294.53 = 11,819.37 : x
  2. Step 2: Convert to fraction form
    19,777.32/27,294.53 = 11,819.37/x
  3. Step 3: Cross multiply
    19,777.32x = 27,294.53 × 11,819.37
  4. Step 4: Simplify right side
    19,777.32x = 322,604,149.05
  5. Step 5: Solve for x
    x = 322,604,149.05/19,777.32
  6. Step 6: Final answer
    x = 16,311.82

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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.