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Finding the Fourth Proportional to 23,963.28, 35,946.36 and 7,324.44

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Solution

The fourth proportional to 23,963.28, 35,946.36 and 7,324.44 is: 10,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,963.28 : 35,946.36 = 7,324.44 : x
  2. Step 2: Convert to fraction form
    23,963.28/35,946.36 = 7,324.44/x
  3. Step 3: Cross multiply
    23,963.28x = 35,946.36 × 7,324.44
  4. Step 4: Simplify right side
    23,963.28x = 263,286,957.04
  5. Step 5: Solve for x
    x = 263,286,957.04/23,963.28
  6. Step 6: Final answer
    x = 10,987.10

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Why These Related Problems?

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