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Finding the Fourth Proportional to 13,212.81, 18,237.12 and 8,174.10

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Solution

The fourth proportional to 13,212.81, 18,237.12 and 8,174.10 is: 11,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.81 : 18,237.12 = 8,174.10 : x
  2. Step 2: Convert to fraction form
    13,212.81/18,237.12 = 8,174.10/x
  3. Step 3: Cross multiply
    13,212.81x = 18,237.12 × 8,174.10
  4. Step 4: Simplify right side
    13,212.81x = 149,072,042.59
  5. Step 5: Solve for x
    x = 149,072,042.59/13,212.81
  6. Step 6: Final answer
    x = 11,282.39

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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.