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Finding the Fourth Proportional to 27,759.43, 38,309 and 15,820.84

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Solution

The fourth proportional to 27,759.43, 38,309 and 15,820.84 is: 21,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,759.43 : 38,309 = 15,820.84 : x
  2. Step 2: Convert to fraction form
    27,759.43/38,309 = 15,820.84/x
  3. Step 3: Cross multiply
    27,759.43x = 38,309 × 15,820.84
  4. Step 4: Simplify right side
    27,759.43x = 606,080,559.56
  5. Step 5: Solve for x
    x = 606,080,559.56/27,759.43
  6. Step 6: Final answer
    x = 21,833.32

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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.