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Finding the Fourth Proportional to 22,485.78, 33,728.64 and 6,069.78

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Solution

The fourth proportional to 22,485.78, 33,728.64 and 6,069.78 is: 9,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,485.78 : 33,728.64 = 6,069.78 : x
  2. Step 2: Convert to fraction form
    22,485.78/33,728.64 = 6,069.78/x
  3. Step 3: Cross multiply
    22,485.78x = 33,728.64 × 6,069.78
  4. Step 4: Simplify right side
    22,485.78x = 204,725,424.50
  5. Step 5: Solve for x
    x = 204,725,424.50/22,485.78
  6. Step 6: Final answer
    x = 9,104.66

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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.