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Finding the Fourth Proportional to 16,239, 24,414.09 and 15,021.57

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Solution

The fourth proportional to 16,239, 24,414.09 and 15,021.57 is: 22,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239 : 24,414.09 = 15,021.57 : x
  2. Step 2: Convert to fraction form
    16,239/24,414.09 = 15,021.57/x
  3. Step 3: Cross multiply
    16,239x = 24,414.09 × 15,021.57
  4. Step 4: Simplify right side
    16,239x = 366,737,961.92
  5. Step 5: Solve for x
    x = 366,737,961.92/16,239
  6. Step 6: Final answer
    x = 22,583.78

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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.