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Finding the Fourth Proportional to 30,591.26, 42,216.23 and 17,162.80

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Solution

The fourth proportional to 30,591.26, 42,216.23 and 17,162.80 is: 23,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591.26 : 42,216.23 = 17,162.80 : x
  2. Step 2: Convert to fraction form
    30,591.26/42,216.23 = 17,162.80/x
  3. Step 3: Cross multiply
    30,591.26x = 42,216.23 × 17,162.80
  4. Step 4: Simplify right side
    30,591.26x = 724,548,712.24
  5. Step 5: Solve for x
    x = 724,548,712.24/30,591.26
  6. Step 6: Final answer
    x = 23,684.83

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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.