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Finding the Fourth Proportional to 27,571.89, 38,055.45 and 16,820.40

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Solution

The fourth proportional to 27,571.89, 38,055.45 and 16,820.40 is: 23,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571.89 : 38,055.45 = 16,820.40 : x
  2. Step 2: Convert to fraction form
    27,571.89/38,055.45 = 16,820.40/x
  3. Step 3: Cross multiply
    27,571.89x = 38,055.45 × 16,820.40
  4. Step 4: Simplify right side
    27,571.89x = 640,107,891.18
  5. Step 5: Solve for x
    x = 640,107,891.18/27,571.89
  6. Step 6: Final answer
    x = 23,215.96

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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.