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Finding the Fourth Proportional to 30,622.86, 42,259.05 and 17,194.14

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Solution

The fourth proportional to 30,622.86, 42,259.05 and 17,194.14 is: 23,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,622.86 : 42,259.05 = 17,194.14 : x
  2. Step 2: Convert to fraction form
    30,622.86/42,259.05 = 17,194.14/x
  3. Step 3: Cross multiply
    30,622.86x = 42,259.05 × 17,194.14
  4. Step 4: Simplify right side
    30,622.86x = 726,608,021.97
  5. Step 5: Solve for x
    x = 726,608,021.97/30,622.86
  6. Step 6: Final answer
    x = 23,727.63

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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.