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Finding the Fourth Proportional to 12,137.85, 18,192.60 and 5,564.70

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Solution

The fourth proportional to 12,137.85, 18,192.60 and 5,564.70 is: 8,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.85 : 18,192.60 = 5,564.70 : x
  2. Step 2: Convert to fraction form
    12,137.85/18,192.60 = 5,564.70/x
  3. Step 3: Cross multiply
    12,137.85x = 18,192.60 × 5,564.70
  4. Step 4: Simplify right side
    12,137.85x = 101,236,361.22
  5. Step 5: Solve for x
    x = 101,236,361.22/12,137.85
  6. Step 6: Final answer
    x = 8,340.55

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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.