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Finding the Fourth Proportional to 13,192.77, 18,206.07 and 7,224.39

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Solution

The fourth proportional to 13,192.77, 18,206.07 and 7,224.39 is: 9,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.77 : 18,206.07 = 7,224.39 : x
  2. Step 2: Convert to fraction form
    13,192.77/18,206.07 = 7,224.39/x
  3. Step 3: Cross multiply
    13,192.77x = 18,206.07 × 7,224.39
  4. Step 4: Simplify right side
    13,192.77x = 131,527,750.05
  5. Step 5: Solve for x
    x = 131,527,750.05/13,192.77
  6. Step 6: Final answer
    x = 9,969.68

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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.