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Finding the Fourth Proportional to 11,794.14, 17,689.20 and 11,143.50

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Solution

The fourth proportional to 11,794.14, 17,689.20 and 11,143.50 is: 16,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.14 : 17,689.20 = 11,143.50 : x
  2. Step 2: Convert to fraction form
    11,794.14/17,689.20 = 11,143.50/x
  3. Step 3: Cross multiply
    11,794.14x = 17,689.20 × 11,143.50
  4. Step 4: Simplify right side
    11,794.14x = 197,119,600.20
  5. Step 5: Solve for x
    x = 197,119,600.20/11,794.14
  6. Step 6: Final answer
    x = 16,713.35

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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.