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Finding the Fourth Proportional to 26,272, 36,255.36 and 14,496

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Solution

The fourth proportional to 26,272, 36,255.36 and 14,496 is: 20,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,272 : 36,255.36 = 14,496 : x
  2. Step 2: Convert to fraction form
    26,272/36,255.36 = 14,496/x
  3. Step 3: Cross multiply
    26,272x = 36,255.36 × 14,496
  4. Step 4: Simplify right side
    26,272x = 525,557,698.56
  5. Step 5: Solve for x
    x = 525,557,698.56/26,272
  6. Step 6: Final answer
    x = 20,004.48

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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.