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Finding the Fourth Proportional to 12,188.80, 18,268.50 and 5,605.96

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Solution

The fourth proportional to 12,188.80, 18,268.50 and 5,605.96 is: 8,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.80 : 18,268.50 = 5,605.96 : x
  2. Step 2: Convert to fraction form
    12,188.80/18,268.50 = 5,605.96/x
  3. Step 3: Cross multiply
    12,188.80x = 18,268.50 × 5,605.96
  4. Step 4: Simplify right side
    12,188.80x = 102,412,480.26
  5. Step 5: Solve for x
    x = 102,412,480.26/12,188.80
  6. Step 6: Final answer
    x = 8,402.18

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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.