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Finding the Fourth Proportional to 14,902.82, 20,563.65 and 8,188.73

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Solution

The fourth proportional to 14,902.82, 20,563.65 and 8,188.73 is: 11,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.82 : 20,563.65 = 8,188.73 : x
  2. Step 2: Convert to fraction form
    14,902.82/20,563.65 = 8,188.73/x
  3. Step 3: Cross multiply
    14,902.82x = 20,563.65 × 8,188.73
  4. Step 4: Simplify right side
    14,902.82x = 168,390,074.85
  5. Step 5: Solve for x
    x = 168,390,074.85/14,902.82
  6. Step 6: Final answer
    x = 11,299.21

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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.