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Finding the Fourth Proportional to 18,497.80, 25,462.74 and 16,135.80

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Solution

The fourth proportional to 18,497.80, 25,462.74 and 16,135.80 is: 22,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.80 : 25,462.74 = 16,135.80 : x
  2. Step 2: Convert to fraction form
    18,497.80/25,462.74 = 16,135.80/x
  3. Step 3: Cross multiply
    18,497.80x = 25,462.74 × 16,135.80
  4. Step 4: Simplify right side
    18,497.80x = 410,861,680.09
  5. Step 5: Solve for x
    x = 410,861,680.09/18,497.80
  6. Step 6: Final answer
    x = 22,211.38

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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.