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Finding the Fourth Proportional to 24,771.50, 34,183.77 and 14,160.50

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Solution

The fourth proportional to 24,771.50, 34,183.77 and 14,160.50 is: 19,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,771.50 : 34,183.77 = 14,160.50 : x
  2. Step 2: Convert to fraction form
    24,771.50/34,183.77 = 14,160.50/x
  3. Step 3: Cross multiply
    24,771.50x = 34,183.77 × 14,160.50
  4. Step 4: Simplify right side
    24,771.50x = 484,059,275.09
  5. Step 5: Solve for x
    x = 484,059,275.09/24,771.50
  6. Step 6: Final answer
    x = 19,540.98

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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.