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Finding the Fourth Proportional to 18,099.63, 24,977.99 and 10,142.37

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Solution

The fourth proportional to 18,099.63, 24,977.99 and 10,142.37 is: 13,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,099.63 : 24,977.99 = 10,142.37 : x
  2. Step 2: Convert to fraction form
    18,099.63/24,977.99 = 10,142.37/x
  3. Step 3: Cross multiply
    18,099.63x = 24,977.99 × 10,142.37
  4. Step 4: Simplify right side
    18,099.63x = 253,335,965.72
  5. Step 5: Solve for x
    x = 253,335,965.72/18,099.63
  6. Step 6: Final answer
    x = 13,996.75

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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.