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Finding the Fourth Proportional to 12,223.78, 18,320.56 and 6,963.23

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Solution

The fourth proportional to 12,223.78, 18,320.56 and 6,963.23 is: 10,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.78 : 18,320.56 = 6,963.23 : x
  2. Step 2: Convert to fraction form
    12,223.78/18,320.56 = 6,963.23/x
  3. Step 3: Cross multiply
    12,223.78x = 18,320.56 × 6,963.23
  4. Step 4: Simplify right side
    12,223.78x = 127,570,273.01
  5. Step 5: Solve for x
    x = 127,570,273.01/12,223.78
  6. Step 6: Final answer
    x = 10,436.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.