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Finding the Fourth Proportional to 18,136.92, 25,022.70 and 10,178.04

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Solution

The fourth proportional to 18,136.92, 25,022.70 and 10,178.04 is: 14,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,136.92 : 25,022.70 = 10,178.04 : x
  2. Step 2: Convert to fraction form
    18,136.92/25,022.70 = 10,178.04/x
  3. Step 3: Cross multiply
    18,136.92x = 25,022.70 × 10,178.04
  4. Step 4: Simplify right side
    18,136.92x = 254,682,041.51
  5. Step 5: Solve for x
    x = 254,682,041.51/18,136.92
  6. Step 6: Final answer
    x = 14,042.19

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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.