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Finding the Fourth Proportional to 12,111.80, 18,165.87 and 7,759.67

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Solution

The fourth proportional to 12,111.80, 18,165.87 and 7,759.67 is: 11,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.80 : 18,165.87 = 7,759.67 : x
  2. Step 2: Convert to fraction form
    12,111.80/18,165.87 = 7,759.67/x
  3. Step 3: Cross multiply
    12,111.80x = 18,165.87 × 7,759.67
  4. Step 4: Simplify right side
    12,111.80x = 140,961,065.63
  5. Step 5: Solve for x
    x = 140,961,065.63/12,111.80
  6. Step 6: Final answer
    x = 11,638.33

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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.