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Finding the Fourth Proportional to 13,136.39, 18,128.73 and 7,471.65

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Solution

The fourth proportional to 13,136.39, 18,128.73 and 7,471.65 is: 10,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.39 : 18,128.73 = 7,471.65 : x
  2. Step 2: Convert to fraction form
    13,136.39/18,128.73 = 7,471.65/x
  3. Step 3: Cross multiply
    13,136.39x = 18,128.73 × 7,471.65
  4. Step 4: Simplify right side
    13,136.39x = 135,451,525.50
  5. Step 5: Solve for x
    x = 135,451,525.50/13,136.39
  6. Step 6: Final answer
    x = 10,311.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.