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Finding the Fourth Proportional to 13,194.09, 19,791.74 and 7,346.29

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Solution

The fourth proportional to 13,194.09, 19,791.74 and 7,346.29 is: 11,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.09 : 19,791.74 = 7,346.29 : x
  2. Step 2: Convert to fraction form
    13,194.09/19,791.74 = 7,346.29/x
  3. Step 3: Cross multiply
    13,194.09x = 19,791.74 × 7,346.29
  4. Step 4: Simplify right side
    13,194.09x = 145,395,824.91
  5. Step 5: Solve for x
    x = 145,395,824.91/13,194.09
  6. Step 6: Final answer
    x = 11,019.77

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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.