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Finding the Fourth Proportional to 13,911.74, 20,861.38 and 9,999.73

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Solution

The fourth proportional to 13,911.74, 20,861.38 and 9,999.73 is: 14,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.74 : 20,861.38 = 9,999.73 : x
  2. Step 2: Convert to fraction form
    13,911.74/20,861.38 = 9,999.73/x
  3. Step 3: Cross multiply
    13,911.74x = 20,861.38 × 9,999.73
  4. Step 4: Simplify right side
    13,911.74x = 208,608,167.43
  5. Step 5: Solve for x
    x = 208,608,167.43/13,911.74
  6. Step 6: Final answer
    x = 14,995.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.