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Finding the Fourth Proportional to 22,447.02, 33,674.31 and 6,861

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Solution

The fourth proportional to 22,447.02, 33,674.31 and 6,861 is: 10,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.02 : 33,674.31 = 6,861 : x
  2. Step 2: Convert to fraction form
    22,447.02/33,674.31 = 6,861/x
  3. Step 3: Cross multiply
    22,447.02x = 33,674.31 × 6,861
  4. Step 4: Simplify right side
    22,447.02x = 231,039,440.91
  5. Step 5: Solve for x
    x = 231,039,440.91/22,447.02
  6. Step 6: Final answer
    x = 10,292.66

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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.