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Finding the Fourth Proportional to 25,493.67, 35,183.16 and 14,165.82

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Solution

The fourth proportional to 25,493.67, 35,183.16 and 14,165.82 is: 19,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.67 : 35,183.16 = 14,165.82 : x
  2. Step 2: Convert to fraction form
    25,493.67/35,183.16 = 14,165.82/x
  3. Step 3: Cross multiply
    25,493.67x = 35,183.16 × 14,165.82
  4. Step 4: Simplify right side
    25,493.67x = 498,398,311.59
  5. Step 5: Solve for x
    x = 498,398,311.59/25,493.67
  6. Step 6: Final answer
    x = 19,549.88

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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.