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Finding the Fourth Proportional to 27,733.85, 38,272.16 and 15,796.88

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Solution

The fourth proportional to 27,733.85, 38,272.16 and 15,796.88 is: 21,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,733.85 : 38,272.16 = 15,796.88 : x
  2. Step 2: Convert to fraction form
    27,733.85/38,272.16 = 15,796.88/x
  3. Step 3: Cross multiply
    27,733.85x = 38,272.16 × 15,796.88
  4. Step 4: Simplify right side
    27,733.85x = 604,580,718.86
  5. Step 5: Solve for x
    x = 604,580,718.86/27,733.85
  6. Step 6: Final answer
    x = 21,799.38

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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.