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Finding the Fourth Proportional to 12,102.79, 18,154.20 and 3,782.85

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Solution

The fourth proportional to 12,102.79, 18,154.20 and 3,782.85 is: 5,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.79 : 18,154.20 = 3,782.85 : x
  2. Step 2: Convert to fraction form
    12,102.79/18,154.20 = 3,782.85/x
  3. Step 3: Cross multiply
    12,102.79x = 18,154.20 × 3,782.85
  4. Step 4: Simplify right side
    12,102.79x = 68,674,551.17
  5. Step 5: Solve for x
    x = 68,674,551.17/12,102.79
  6. Step 6: Final answer
    x = 5,674.28

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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.