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Finding the Fourth Proportional to 25,161.38, 34,725.99 and 16,234.86

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Solution

The fourth proportional to 25,161.38, 34,725.99 and 16,234.86 is: 22,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,161.38 : 34,725.99 = 16,234.86 : x
  2. Step 2: Convert to fraction form
    25,161.38/34,725.99 = 16,234.86/x
  3. Step 3: Cross multiply
    25,161.38x = 34,725.99 × 16,234.86
  4. Step 4: Simplify right side
    25,161.38x = 563,771,438.45
  5. Step 5: Solve for x
    x = 563,771,438.45/25,161.38
  6. Step 6: Final answer
    x = 22,406.22

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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.