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Finding the Fourth Proportional to 24,841.56, 34,286.22 and 14,238.30

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Solution

The fourth proportional to 24,841.56, 34,286.22 and 14,238.30 is: 19,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,841.56 : 34,286.22 = 14,238.30 : x
  2. Step 2: Convert to fraction form
    24,841.56/34,286.22 = 14,238.30/x
  3. Step 3: Cross multiply
    24,841.56x = 34,286.22 × 14,238.30
  4. Step 4: Simplify right side
    24,841.56x = 488,177,486.23
  5. Step 5: Solve for x
    x = 488,177,486.23/24,841.56
  6. Step 6: Final answer
    x = 19,651.64

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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.