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Finding the Fourth Proportional to 23,706, 35,553.60 and 8,916.48

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Solution

The fourth proportional to 23,706, 35,553.60 and 8,916.48 is: 13,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706 : 35,553.60 = 8,916.48 : x
  2. Step 2: Convert to fraction form
    23,706/35,553.60 = 8,916.48/x
  3. Step 3: Cross multiply
    23,706x = 35,553.60 × 8,916.48
  4. Step 4: Simplify right side
    23,706x = 317,012,963.33
  5. Step 5: Solve for x
    x = 317,012,963.33/23,706
  6. Step 6: Final answer
    x = 13,372.69

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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.