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Finding the Fourth Proportional to 12,188.78, 18,290.73 and 5,615.90

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Solution

The fourth proportional to 12,188.78, 18,290.73 and 5,615.90 is: 8,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.78 : 18,290.73 = 5,615.90 : x
  2. Step 2: Convert to fraction form
    12,188.78/18,290.73 = 5,615.90/x
  3. Step 3: Cross multiply
    12,188.78x = 18,290.73 × 5,615.90
  4. Step 4: Simplify right side
    12,188.78x = 102,718,910.61
  5. Step 5: Solve for x
    x = 102,718,910.61/12,188.78
  6. Step 6: Final answer
    x = 8,427.33

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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.