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Finding the Fourth Proportional to 19,819.12, 27,350.16 and 11,435.44

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Solution

The fourth proportional to 19,819.12, 27,350.16 and 11,435.44 is: 15,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.12 : 27,350.16 = 11,435.44 : x
  2. Step 2: Convert to fraction form
    19,819.12/27,350.16 = 11,435.44/x
  3. Step 3: Cross multiply
    19,819.12x = 27,350.16 × 11,435.44
  4. Step 4: Simplify right side
    19,819.12x = 312,761,113.67
  5. Step 5: Solve for x
    x = 312,761,113.67/19,819.12
  6. Step 6: Final answer
    x = 15,780.78

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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.