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Finding the Fourth Proportional to 10,550.24, 14,553.24 and 6,824.24

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Solution

The fourth proportional to 10,550.24, 14,553.24 and 6,824.24 is: 9,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.24 : 14,553.24 = 6,824.24 : x
  2. Step 2: Convert to fraction form
    10,550.24/14,553.24 = 6,824.24/x
  3. Step 3: Cross multiply
    10,550.24x = 14,553.24 × 6,824.24
  4. Step 4: Simplify right side
    10,550.24x = 99,314,802.54
  5. Step 5: Solve for x
    x = 99,314,802.54/10,550.24
  6. Step 6: Final answer
    x = 9,413.51

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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.