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Finding the Fourth Proportional to 27,883.26, 38,486.00 and 15,950.34

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Solution

The fourth proportional to 27,883.26, 38,486.00 and 15,950.34 is: 22,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,883.26 : 38,486.00 = 15,950.34 : x
  2. Step 2: Convert to fraction form
    27,883.26/38,486.00 = 15,950.34/x
  3. Step 3: Cross multiply
    27,883.26x = 38,486.00 × 15,950.34
  4. Step 4: Simplify right side
    27,883.26x = 613,864,825.12
  5. Step 5: Solve for x
    x = 613,864,825.12/27,883.26
  6. Step 6: Final answer
    x = 22,015.53

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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.