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Finding the Fourth Proportional to 22,874.64, 34,292.21 and 8,844.49

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Solution

The fourth proportional to 22,874.64, 34,292.21 and 8,844.49 is: 13,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.64 : 34,292.21 = 8,844.49 : x
  2. Step 2: Convert to fraction form
    22,874.64/34,292.21 = 8,844.49/x
  3. Step 3: Cross multiply
    22,874.64x = 34,292.21 × 8,844.49
  4. Step 4: Simplify right side
    22,874.64x = 303,297,064.20
  5. Step 5: Solve for x
    x = 303,297,064.20/22,874.64
  6. Step 6: Final answer
    x = 13,259.10

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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.