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Finding the Fourth Proportional to 23,767, 35,652.42 and 7,351

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Solution

The fourth proportional to 23,767, 35,652.42 and 7,351 is: 11,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767 : 35,652.42 = 7,351 : x
  2. Step 2: Convert to fraction form
    23,767/35,652.42 = 7,351/x
  3. Step 3: Cross multiply
    23,767x = 35,652.42 × 7,351
  4. Step 4: Simplify right side
    23,767x = 262,080,939.42
  5. Step 5: Solve for x
    x = 262,080,939.42/23,767
  6. Step 6: Final answer
    x = 11,027.09

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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.