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Finding the Fourth Proportional to 21,814.66, 32,723.21 and 7,022.44

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Solution

The fourth proportional to 21,814.66, 32,723.21 and 7,022.44 is: 10,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.66 : 32,723.21 = 7,022.44 : x
  2. Step 2: Convert to fraction form
    21,814.66/32,723.21 = 7,022.44/x
  3. Step 3: Cross multiply
    21,814.66x = 32,723.21 × 7,022.44
  4. Step 4: Simplify right side
    21,814.66x = 229,796,778.83
  5. Step 5: Solve for x
    x = 229,796,778.83/21,814.66
  6. Step 6: Final answer
    x = 10,534.05

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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.