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Finding the Fourth Proportional to 22,257, 33,385.50 and 6,674.63

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Solution

The fourth proportional to 22,257, 33,385.50 and 6,674.63 is: 10,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257 : 33,385.50 = 6,674.63 : x
  2. Step 2: Convert to fraction form
    22,257/33,385.50 = 6,674.63/x
  3. Step 3: Cross multiply
    22,257x = 33,385.50 × 6,674.63
  4. Step 4: Simplify right side
    22,257x = 222,835,692.94
  5. Step 5: Solve for x
    x = 222,835,692.94/22,257
  6. Step 6: Final answer
    x = 10,011.94

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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.