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Finding the Fourth Proportional to 13,498, 20,257.44 and 9,367

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Solution

The fourth proportional to 13,498, 20,257.44 and 9,367 is: 14,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498 : 20,257.44 = 9,367 : x
  2. Step 2: Convert to fraction form
    13,498/20,257.44 = 9,367/x
  3. Step 3: Cross multiply
    13,498x = 20,257.44 × 9,367
  4. Step 4: Simplify right side
    13,498x = 189,751,440.48
  5. Step 5: Solve for x
    x = 189,751,440.48/13,498
  6. Step 6: Final answer
    x = 14,057.74

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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.