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Finding the Fourth Proportional to 22,473.12, 33,714.48 and 8,622

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Solution

The fourth proportional to 22,473.12, 33,714.48 and 8,622 is: 12,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.12 : 33,714.48 = 8,622 : x
  2. Step 2: Convert to fraction form
    22,473.12/33,714.48 = 8,622/x
  3. Step 3: Cross multiply
    22,473.12x = 33,714.48 × 8,622
  4. Step 4: Simplify right side
    22,473.12x = 290,686,246.56
  5. Step 5: Solve for x
    x = 290,686,246.56/22,473.12
  6. Step 6: Final answer
    x = 12,934.84

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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.