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Finding the Fourth Proportional to 13,057.68, 18,022.32 and 10,219.44

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Solution

The fourth proportional to 13,057.68, 18,022.32 and 10,219.44 is: 14,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.68 : 18,022.32 = 10,219.44 : x
  2. Step 2: Convert to fraction form
    13,057.68/18,022.32 = 10,219.44/x
  3. Step 3: Cross multiply
    13,057.68x = 18,022.32 × 10,219.44
  4. Step 4: Simplify right side
    13,057.68x = 184,178,017.90
  5. Step 5: Solve for x
    x = 184,178,017.90/13,057.68
  6. Step 6: Final answer
    x = 14,104.96

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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.