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Finding the Fourth Proportional to 22,847.62, 34,274.25 and 11,152

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Solution

The fourth proportional to 22,847.62, 34,274.25 and 11,152 is: 16,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.62 : 34,274.25 = 11,152 : x
  2. Step 2: Convert to fraction form
    22,847.62/34,274.25 = 11,152/x
  3. Step 3: Cross multiply
    22,847.62x = 34,274.25 × 11,152
  4. Step 4: Simplify right side
    22,847.62x = 382,226,436
  5. Step 5: Solve for x
    x = 382,226,436/22,847.62
  6. Step 6: Final answer
    x = 16,729.38

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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.