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Finding the Fourth Proportional to 22,377.80, 33,522.65 and 16,122.98

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Solution

The fourth proportional to 22,377.80, 33,522.65 and 16,122.98 is: 24,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377.80 : 33,522.65 = 16,122.98 : x
  2. Step 2: Convert to fraction form
    22,377.80/33,522.65 = 16,122.98/x
  3. Step 3: Cross multiply
    22,377.80x = 33,522.65 × 16,122.98
  4. Step 4: Simplify right side
    22,377.80x = 540,485,015.50
  5. Step 5: Solve for x
    x = 540,485,015.50/22,377.80
  6. Step 6: Final answer
    x = 24,152.73

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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.