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Finding the Fourth Proportional to 12,102.94, 18,156.93 and 3,782.62

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Solution

The fourth proportional to 12,102.94, 18,156.93 and 3,782.62 is: 5,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.94 : 18,156.93 = 3,782.62 : x
  2. Step 2: Convert to fraction form
    12,102.94/18,156.93 = 3,782.62/x
  3. Step 3: Cross multiply
    12,102.94x = 18,156.93 × 3,782.62
  4. Step 4: Simplify right side
    12,102.94x = 68,680,766.56
  5. Step 5: Solve for x
    x = 68,680,766.56/12,102.94
  6. Step 6: Final answer
    x = 5,674.72

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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.