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Finding the Fourth Proportional to 13,192.70, 18,205.76 and 7,224.28

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Solution

The fourth proportional to 13,192.70, 18,205.76 and 7,224.28 is: 9,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.70 : 18,205.76 = 7,224.28 : x
  2. Step 2: Convert to fraction form
    13,192.70/18,205.76 = 7,224.28/x
  3. Step 3: Cross multiply
    13,192.70x = 18,205.76 × 7,224.28
  4. Step 4: Simplify right side
    13,192.70x = 131,523,480.40
  5. Step 5: Solve for x
    x = 131,523,480.40/13,192.70
  6. Step 6: Final answer
    x = 9,969.42

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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.