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Finding the Fourth Proportional to 23,296, 34,963.44 and 10,984

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Solution

The fourth proportional to 23,296, 34,963.44 and 10,984 is: 16,485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296 : 34,963.44 = 10,984 : x
  2. Step 2: Convert to fraction form
    23,296/34,963.44 = 10,984/x
  3. Step 3: Cross multiply
    23,296x = 34,963.44 × 10,984
  4. Step 4: Simplify right side
    23,296x = 384,038,424.96
  5. Step 5: Solve for x
    x = 384,038,424.96/23,296
  6. Step 6: Final answer
    x = 16,485.17

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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.