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Finding the Fourth Proportional to 13,206.36, 18,224.91 and 7,237.90

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Solution

The fourth proportional to 13,206.36, 18,224.91 and 7,237.90 is: 9,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.36 : 18,224.91 = 7,237.90 : x
  2. Step 2: Convert to fraction form
    13,206.36/18,224.91 = 7,237.90/x
  3. Step 3: Cross multiply
    13,206.36x = 18,224.91 × 7,237.90
  4. Step 4: Simplify right side
    13,206.36x = 131,910,003.06
  5. Step 5: Solve for x
    x = 131,910,003.06/13,206.36
  6. Step 6: Final answer
    x = 9,988.37

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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.