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Finding the Fourth Proportional to 23,213.50, 34,821.73 and 6,574.85

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Solution

The fourth proportional to 23,213.50, 34,821.73 and 6,574.85 is: 9,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.50 : 34,821.73 = 6,574.85 : x
  2. Step 2: Convert to fraction form
    23,213.50/34,821.73 = 6,574.85/x
  3. Step 3: Cross multiply
    23,213.50x = 34,821.73 × 6,574.85
  4. Step 4: Simplify right side
    23,213.50x = 228,947,616.18
  5. Step 5: Solve for x
    x = 228,947,616.18/23,213.50
  6. Step 6: Final answer
    x = 9,862.69

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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.