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Finding the Fourth Proportional to 12,426.87, 18,640.21 and 3,661.66

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Solution

The fourth proportional to 12,426.87, 18,640.21 and 3,661.66 is: 5,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.87 : 18,640.21 = 3,661.66 : x
  2. Step 2: Convert to fraction form
    12,426.87/18,640.21 = 3,661.66/x
  3. Step 3: Cross multiply
    12,426.87x = 18,640.21 × 3,661.66
  4. Step 4: Simplify right side
    12,426.87x = 68,254,111.35
  5. Step 5: Solve for x
    x = 68,254,111.35/12,426.87
  6. Step 6: Final answer
    x = 5,492.46

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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.