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Finding the Fourth Proportional to 17,542.90, 24,205.26 and 10,468

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Solution

The fourth proportional to 17,542.90, 24,205.26 and 10,468 is: 14,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.90 : 24,205.26 = 10,468 : x
  2. Step 2: Convert to fraction form
    17,542.90/24,205.26 = 10,468/x
  3. Step 3: Cross multiply
    17,542.90x = 24,205.26 × 10,468
  4. Step 4: Simplify right side
    17,542.90x = 253,380,661.68
  5. Step 5: Solve for x
    x = 253,380,661.68/17,542.90
  6. Step 6: Final answer
    x = 14,443.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.