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Finding the Fourth Proportional to 30,969.12, 42,738.17 and 17,540.18

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Solution

The fourth proportional to 30,969.12, 42,738.17 and 17,540.18 is: 24,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.12 : 42,738.17 = 17,540.18 : x
  2. Step 2: Convert to fraction form
    30,969.12/42,738.17 = 17,540.18/x
  3. Step 3: Cross multiply
    30,969.12x = 42,738.17 × 17,540.18
  4. Step 4: Simplify right side
    30,969.12x = 749,635,194.67
  5. Step 5: Solve for x
    x = 749,635,194.67/30,969.12
  6. Step 6: Final answer
    x = 24,205.89

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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.