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Finding the Fourth Proportional to 22,285.80, 33,425.82 and 8,433

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Solution

The fourth proportional to 22,285.80, 33,425.82 and 8,433 is: 12,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,285.80 : 33,425.82 = 8,433 : x
  2. Step 2: Convert to fraction form
    22,285.80/33,425.82 = 8,433/x
  3. Step 3: Cross multiply
    22,285.80x = 33,425.82 × 8,433
  4. Step 4: Simplify right side
    22,285.80x = 281,879,940.06
  5. Step 5: Solve for x
    x = 281,879,940.06/22,285.80
  6. Step 6: Final answer
    x = 12,648.41

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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.