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Finding the Fourth Proportional to 13,192.28, 18,205.38 and 7,223.99

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Solution

The fourth proportional to 13,192.28, 18,205.38 and 7,223.99 is: 9,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.28 : 18,205.38 = 7,223.99 : x
  2. Step 2: Convert to fraction form
    13,192.28/18,205.38 = 7,223.99/x
  3. Step 3: Cross multiply
    13,192.28x = 18,205.38 × 7,223.99
  4. Step 4: Simplify right side
    13,192.28x = 131,515,483.07
  5. Step 5: Solve for x
    x = 131,515,483.07/13,192.28
  6. Step 6: Final answer
    x = 9,969.12

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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.