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Finding the Fourth Proportional to 27,197.80, 40,796.70 and 16,829.80

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Solution

The fourth proportional to 27,197.80, 40,796.70 and 16,829.80 is: 25,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.80 : 40,796.70 = 16,829.80 : x
  2. Step 2: Convert to fraction form
    27,197.80/40,796.70 = 16,829.80/x
  3. Step 3: Cross multiply
    27,197.80x = 40,796.70 × 16,829.80
  4. Step 4: Simplify right side
    27,197.80x = 686,600,301.66
  5. Step 5: Solve for x
    x = 686,600,301.66/27,197.80
  6. Step 6: Final answer
    x = 25,244.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.