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Finding the Fourth Proportional to 30,022.88, 41,435.21 and 17,447.63

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Solution

The fourth proportional to 30,022.88, 41,435.21 and 17,447.63 is: 24,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,022.88 : 41,435.21 = 17,447.63 : x
  2. Step 2: Convert to fraction form
    30,022.88/41,435.21 = 17,447.63/x
  3. Step 3: Cross multiply
    30,022.88x = 41,435.21 × 17,447.63
  4. Step 4: Simplify right side
    30,022.88x = 722,946,049.50
  5. Step 5: Solve for x
    x = 722,946,049.50/30,022.88
  6. Step 6: Final answer
    x = 24,079.84

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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.