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Finding the Fourth Proportional to 13,206.37, 18,224.94 and 7,237.91

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Solution

The fourth proportional to 13,206.37, 18,224.94 and 7,237.91 is: 9,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.37 : 18,224.94 = 7,237.91 : x
  2. Step 2: Convert to fraction form
    13,206.37/18,224.94 = 7,237.91/x
  3. Step 3: Cross multiply
    13,206.37x = 18,224.94 × 7,237.91
  4. Step 4: Simplify right side
    13,206.37x = 131,910,439.29
  5. Step 5: Solve for x
    x = 131,910,439.29/13,206.37
  6. Step 6: Final answer
    x = 9,988.39

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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.