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Finding the Fourth Proportional to 23,794.93, 35,694.21 and 6,264.50

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Solution

The fourth proportional to 23,794.93, 35,694.21 and 6,264.50 is: 9,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.93 : 35,694.21 = 6,264.50 : x
  2. Step 2: Convert to fraction form
    23,794.93/35,694.21 = 6,264.50/x
  3. Step 3: Cross multiply
    23,794.93x = 35,694.21 × 6,264.50
  4. Step 4: Simplify right side
    23,794.93x = 223,606,378.55
  5. Step 5: Solve for x
    x = 223,606,378.55/23,794.93
  6. Step 6: Final answer
    x = 9,397.23

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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.