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Finding the Fourth Proportional to 11,524.32, 17,286.48 and 9,468

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Solution

The fourth proportional to 11,524.32, 17,286.48 and 9,468 is: 14,202

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.32 : 17,286.48 = 9,468 : x
  2. Step 2: Convert to fraction form
    11,524.32/17,286.48 = 9,468/x
  3. Step 3: Cross multiply
    11,524.32x = 17,286.48 × 9,468
  4. Step 4: Simplify right side
    11,524.32x = 163,668,392.64
  5. Step 5: Solve for x
    x = 163,668,392.64/11,524.32
  6. Step 6: Final answer
    x = 14,202

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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.