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Finding the Fourth Proportional to 23,863.32, 35,796.66 and 6,333

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Solution

The fourth proportional to 23,863.32, 35,796.66 and 6,333 is: 9,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.32 : 35,796.66 = 6,333 : x
  2. Step 2: Convert to fraction form
    23,863.32/35,796.66 = 6,333/x
  3. Step 3: Cross multiply
    23,863.32x = 35,796.66 × 6,333
  4. Step 4: Simplify right side
    23,863.32x = 226,700,247.78
  5. Step 5: Solve for x
    x = 226,700,247.78/23,863.32
  6. Step 6: Final answer
    x = 9,499.95

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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.