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Finding the Fourth Proportional to 30,961.68, 42,727.22 and 16,814.20

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Solution

The fourth proportional to 30,961.68, 42,727.22 and 16,814.20 is: 23,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.68 : 42,727.22 = 16,814.20 : x
  2. Step 2: Convert to fraction form
    30,961.68/42,727.22 = 16,814.20/x
  3. Step 3: Cross multiply
    30,961.68x = 42,727.22 × 16,814.20
  4. Step 4: Simplify right side
    30,961.68x = 718,424,022.52
  5. Step 5: Solve for x
    x = 718,424,022.52/30,961.68
  6. Step 6: Final answer
    x = 23,203.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.