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Finding the Fourth Proportional to 17,840.82, 24,617.82 and 10,286.55

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Solution

The fourth proportional to 17,840.82, 24,617.82 and 10,286.55 is: 14,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,840.82 : 24,617.82 = 10,286.55 : x
  2. Step 2: Convert to fraction form
    17,840.82/24,617.82 = 10,286.55/x
  3. Step 3: Cross multiply
    17,840.82x = 24,617.82 × 10,286.55
  4. Step 4: Simplify right side
    17,840.82x = 253,232,436.32
  5. Step 5: Solve for x
    x = 253,232,436.32/17,840.82
  6. Step 6: Final answer
    x = 14,193.99

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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.