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Finding the Fourth Proportional to 12,659.40, 18,989.46 and 3,894.48

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Solution

The fourth proportional to 12,659.40, 18,989.46 and 3,894.48 is: 5,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.40 : 18,989.46 = 3,894.48 : x
  2. Step 2: Convert to fraction form
    12,659.40/18,989.46 = 3,894.48/x
  3. Step 3: Cross multiply
    12,659.40x = 18,989.46 × 3,894.48
  4. Step 4: Simplify right side
    12,659.40x = 73,954,072.18
  5. Step 5: Solve for x
    x = 73,954,072.18/12,659.40
  6. Step 6: Final answer
    x = 5,841.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.