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Finding the Fourth Proportional to 13,499.09, 20,241.70 and 6,099.54

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Solution

The fourth proportional to 13,499.09, 20,241.70 and 6,099.54 is: 9,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499.09 : 20,241.70 = 6,099.54 : x
  2. Step 2: Convert to fraction form
    13,499.09/20,241.70 = 6,099.54/x
  3. Step 3: Cross multiply
    13,499.09x = 20,241.70 × 6,099.54
  4. Step 4: Simplify right side
    13,499.09x = 123,464,967.66
  5. Step 5: Solve for x
    x = 123,464,967.66/13,499.09
  6. Step 6: Final answer
    x = 9,146.17

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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.