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Finding the Fourth Proportional to 13,663.25, 20,481.56 and 6,999.74

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Solution

The fourth proportional to 13,663.25, 20,481.56 and 6,999.74 is: 10,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.25 : 20,481.56 = 6,999.74 : x
  2. Step 2: Convert to fraction form
    13,663.25/20,481.56 = 6,999.74/x
  3. Step 3: Cross multiply
    13,663.25x = 20,481.56 × 6,999.74
  4. Step 4: Simplify right side
    13,663.25x = 143,365,559.80
  5. Step 5: Solve for x
    x = 143,365,559.80/13,663.25
  6. Step 6: Final answer
    x = 10,492.79

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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.