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Finding the Fourth Proportional to 12,694.15, 19,043.44 and 5,303.80

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Solution

The fourth proportional to 12,694.15, 19,043.44 and 5,303.80 is: 7,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.15 : 19,043.44 = 5,303.80 : x
  2. Step 2: Convert to fraction form
    12,694.15/19,043.44 = 5,303.80/x
  3. Step 3: Cross multiply
    12,694.15x = 19,043.44 × 5,303.80
  4. Step 4: Simplify right side
    12,694.15x = 101,002,500.50
  5. Step 5: Solve for x
    x = 101,002,500.50/12,694.15
  6. Step 6: Final answer
    x = 7,956.62

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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.