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Finding the Fourth Proportional to 23,702, 35,553 and 7,286

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Solution

The fourth proportional to 23,702, 35,553 and 7,286 is: 10,929

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702 : 35,553 = 7,286 : x
  2. Step 2: Convert to fraction form
    23,702/35,553 = 7,286/x
  3. Step 3: Cross multiply
    23,702x = 35,553 × 7,286
  4. Step 4: Simplify right side
    23,702x = 259,039,158
  5. Step 5: Solve for x
    x = 259,039,158/23,702
  6. Step 6: Final answer
    x = 10,929

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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.