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Finding the Fourth Proportional to 22,814.04, 34,234.80 and 8,034

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Solution

The fourth proportional to 22,814.04, 34,234.80 and 8,034 is: 12,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.04 : 34,234.80 = 8,034 : x
  2. Step 2: Convert to fraction form
    22,814.04/34,234.80 = 8,034/x
  3. Step 3: Cross multiply
    22,814.04x = 34,234.80 × 8,034
  4. Step 4: Simplify right side
    22,814.04x = 275,042,383.20
  5. Step 5: Solve for x
    x = 275,042,383.20/22,814.04
  6. Step 6: Final answer
    x = 12,055.84

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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.