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Finding the Fourth Proportional to 12,659.50, 18,991.56 and 4,340.36

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Solution

The fourth proportional to 12,659.50, 18,991.56 and 4,340.36 is: 6,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.50 : 18,991.56 = 4,340.36 : x
  2. Step 2: Convert to fraction form
    12,659.50/18,991.56 = 4,340.36/x
  3. Step 3: Cross multiply
    12,659.50x = 18,991.56 × 4,340.36
  4. Step 4: Simplify right side
    12,659.50x = 82,430,149.03
  5. Step 5: Solve for x
    x = 82,430,149.03/12,659.50
  6. Step 6: Final answer
    x = 6,511.33

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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.