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Finding the Fourth Proportional to 14,556.98, 20,088.20 and 8,183.63

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Solution

The fourth proportional to 14,556.98, 20,088.20 and 8,183.63 is: 11,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.98 : 20,088.20 = 8,183.63 : x
  2. Step 2: Convert to fraction form
    14,556.98/20,088.20 = 8,183.63/x
  3. Step 3: Cross multiply
    14,556.98x = 20,088.20 × 8,183.63
  4. Step 4: Simplify right side
    14,556.98x = 164,394,355.25
  5. Step 5: Solve for x
    x = 164,394,355.25/14,556.98
  6. Step 6: Final answer
    x = 11,293.16

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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.