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Finding the Fourth Proportional to 13,498, 20,250.24 and 4,264

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Solution

The fourth proportional to 13,498, 20,250.24 and 4,264 is: 6,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498 : 20,250.24 = 4,264 : x
  2. Step 2: Convert to fraction form
    13,498/20,250.24 = 4,264/x
  3. Step 3: Cross multiply
    13,498x = 20,250.24 × 4,264
  4. Step 4: Simplify right side
    13,498x = 86,347,023.36
  5. Step 5: Solve for x
    x = 86,347,023.36/13,498
  6. Step 6: Final answer
    x = 6,397.02

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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.