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Finding the Fourth Proportional to 22,771.86, 34,086.71 and 16,774.70

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Solution

The fourth proportional to 22,771.86, 34,086.71 and 16,774.70 is: 25,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.86 : 34,086.71 = 16,774.70 : x
  2. Step 2: Convert to fraction form
    22,771.86/34,086.71 = 16,774.70/x
  3. Step 3: Cross multiply
    22,771.86x = 34,086.71 × 16,774.70
  4. Step 4: Simplify right side
    22,771.86x = 571,794,079.93
  5. Step 5: Solve for x
    x = 571,794,079.93/22,771.86
  6. Step 6: Final answer
    x = 25,109.68

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1.5x scale

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.