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Finding the Fourth Proportional to 30,642.12, 42,286.29 and 17,213.94

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Solution

The fourth proportional to 30,642.12, 42,286.29 and 17,213.94 is: 23,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.12 : 42,286.29 = 17,213.94 : x
  2. Step 2: Convert to fraction form
    30,642.12/42,286.29 = 17,213.94/x
  3. Step 3: Cross multiply
    30,642.12x = 42,286.29 × 17,213.94
  4. Step 4: Simplify right side
    30,642.12x = 727,913,658.88
  5. Step 5: Solve for x
    x = 727,913,658.88/30,642.12
  6. Step 6: Final answer
    x = 23,755.33

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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.