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Finding the Fourth Proportional to 13,194.82, 18,202.62 and 7,813.86

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Solution

The fourth proportional to 13,194.82, 18,202.62 and 7,813.86 is: 10,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.82 : 18,202.62 = 7,813.86 : x
  2. Step 2: Convert to fraction form
    13,194.82/18,202.62 = 7,813.86/x
  3. Step 3: Cross multiply
    13,194.82x = 18,202.62 × 7,813.86
  4. Step 4: Simplify right side
    13,194.82x = 142,232,724.31
  5. Step 5: Solve for x
    x = 142,232,724.31/13,194.82
  6. Step 6: Final answer
    x = 10,779.44

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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.