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Finding the Fourth Proportional to 12,694.14, 19,002.78 and 11,524.14

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Solution

The fourth proportional to 12,694.14, 19,002.78 and 11,524.14 is: 17,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.14 : 19,002.78 = 11,524.14 : x
  2. Step 2: Convert to fraction form
    12,694.14/19,002.78 = 11,524.14/x
  3. Step 3: Cross multiply
    12,694.14x = 19,002.78 × 11,524.14
  4. Step 4: Simplify right side
    12,694.14x = 218,990,697.11
  5. Step 5: Solve for x
    x = 218,990,697.11/12,694.14
  6. Step 6: Final answer
    x = 17,251.32

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1.5x scale

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.