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Finding the Fourth Proportional to 22,280.74, 30,745.38 and 12,847.48

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Solution

The fourth proportional to 22,280.74, 30,745.38 and 12,847.48 is: 17,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280.74 : 30,745.38 = 12,847.48 : x
  2. Step 2: Convert to fraction form
    22,280.74/30,745.38 = 12,847.48/x
  3. Step 3: Cross multiply
    22,280.74x = 30,745.38 × 12,847.48
  4. Step 4: Simplify right side
    22,280.74x = 395,000,654.64
  5. Step 5: Solve for x
    x = 395,000,654.64/22,280.74
  6. Step 6: Final answer
    x = 17,728.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.