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Finding the Fourth Proportional to 23,892.78, 35,839.80 and 6,362.64

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Solution

The fourth proportional to 23,892.78, 35,839.80 and 6,362.64 is: 9,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.78 : 35,839.80 = 6,362.64 : x
  2. Step 2: Convert to fraction form
    23,892.78/35,839.80 = 6,362.64/x
  3. Step 3: Cross multiply
    23,892.78x = 35,839.80 × 6,362.64
  4. Step 4: Simplify right side
    23,892.78x = 228,035,745.07
  5. Step 5: Solve for x
    x = 228,035,745.07/23,892.78
  6. Step 6: Final answer
    x = 9,544.13

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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.