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Finding the Fourth Proportional to 13,188.73, 18,181.50 and 9,405.33

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Solution

The fourth proportional to 13,188.73, 18,181.50 and 9,405.33 is: 12,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.73 : 18,181.50 = 9,405.33 : x
  2. Step 2: Convert to fraction form
    13,188.73/18,181.50 = 9,405.33/x
  3. Step 3: Cross multiply
    13,188.73x = 18,181.50 × 9,405.33
  4. Step 4: Simplify right side
    13,188.73x = 171,003,007.40
  5. Step 5: Solve for x
    x = 171,003,007.40/13,188.73
  6. Step 6: Final answer
    x = 12,965.84

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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.