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Finding the Fourth Proportional to 13,188.15, 18,208.14 and 11,769.40

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Solution

The fourth proportional to 13,188.15, 18,208.14 and 11,769.40 is: 16,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.15 : 18,208.14 = 11,769.40 : x
  2. Step 2: Convert to fraction form
    13,188.15/18,208.14 = 11,769.40/x
  3. Step 3: Cross multiply
    13,188.15x = 18,208.14 × 11,769.40
  4. Step 4: Simplify right side
    13,188.15x = 214,298,861.54
  5. Step 5: Solve for x
    x = 214,298,861.54/13,188.15
  6. Step 6: Final answer
    x = 16,249.35

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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.