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Finding the Fourth Proportional to 17,137.35, 23,649.71 and 9,967.64

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Solution

The fourth proportional to 17,137.35, 23,649.71 and 9,967.64 is: 13,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137.35 : 23,649.71 = 9,967.64 : x
  2. Step 2: Convert to fraction form
    17,137.35/23,649.71 = 9,967.64/x
  3. Step 3: Cross multiply
    17,137.35x = 23,649.71 × 9,967.64
  4. Step 4: Simplify right side
    17,137.35x = 235,731,627.30
  5. Step 5: Solve for x
    x = 235,731,627.30/17,137.35
  6. Step 6: Final answer
    x = 13,755.43

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1.5x scale

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.