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Finding the Fourth Proportional to 23,227, 32,053.26 and 13,291

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Solution

The fourth proportional to 23,227, 32,053.26 and 13,291 is: 18,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227 : 32,053.26 = 13,291 : x
  2. Step 2: Convert to fraction form
    23,227/32,053.26 = 13,291/x
  3. Step 3: Cross multiply
    23,227x = 32,053.26 × 13,291
  4. Step 4: Simplify right side
    23,227x = 426,019,878.66
  5. Step 5: Solve for x
    x = 426,019,878.66/23,227
  6. Step 6: Final answer
    x = 18,341.58

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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.