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Finding the Fourth Proportional to 14,897.82, 20,559.24 and 8,183.73

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Solution

The fourth proportional to 14,897.82, 20,559.24 and 8,183.73 is: 11,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.82 : 20,559.24 = 8,183.73 : x
  2. Step 2: Convert to fraction form
    14,897.82/20,559.24 = 8,183.73/x
  3. Step 3: Cross multiply
    14,897.82x = 20,559.24 × 8,183.73
  4. Step 4: Simplify right side
    14,897.82x = 168,251,269.17
  5. Step 5: Solve for x
    x = 168,251,269.17/14,897.82
  6. Step 6: Final answer
    x = 11,293.68

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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.