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Finding the Fourth Proportional to 21,814.38, 32,722.77 and 7,022.22

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Solution

The fourth proportional to 21,814.38, 32,722.77 and 7,022.22 is: 10,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.38 : 32,722.77 = 7,022.22 : x
  2. Step 2: Convert to fraction form
    21,814.38/32,722.77 = 7,022.22/x
  3. Step 3: Cross multiply
    21,814.38x = 32,722.77 × 7,022.22
  4. Step 4: Simplify right side
    21,814.38x = 229,786,489.95
  5. Step 5: Solve for x
    x = 229,786,489.95/21,814.38
  6. Step 6: Final answer
    x = 10,533.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.