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Finding the Fourth Proportional to 24,857.97, 34,311.24 and 19,857.03

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Solution

The fourth proportional to 24,857.97, 34,311.24 and 19,857.03 is: 27,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.97 : 34,311.24 = 19,857.03 : x
  2. Step 2: Convert to fraction form
    24,857.97/34,311.24 = 19,857.03/x
  3. Step 3: Cross multiply
    24,857.97x = 34,311.24 × 19,857.03
  4. Step 4: Simplify right side
    24,857.97x = 681,319,322.02
  5. Step 5: Solve for x
    x = 681,319,322.02/24,857.97
  6. Step 6: Final answer
    x = 27,408.49

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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.