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Finding the Fourth Proportional to 23,763, 35,644.50 and 7,347

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Solution

The fourth proportional to 23,763, 35,644.50 and 7,347 is: 11,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763 : 35,644.50 = 7,347 : x
  2. Step 2: Convert to fraction form
    23,763/35,644.50 = 7,347/x
  3. Step 3: Cross multiply
    23,763x = 35,644.50 × 7,347
  4. Step 4: Simplify right side
    23,763x = 261,880,141.50
  5. Step 5: Solve for x
    x = 261,880,141.50/23,763
  6. Step 6: Final answer
    x = 11,020.50

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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.