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Finding the Fourth Proportional to 23,334.04, 34,995.86 and 6,694

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Solution

The fourth proportional to 23,334.04, 34,995.86 and 6,694 is: 10,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,334.04 : 34,995.86 = 6,694 : x
  2. Step 2: Convert to fraction form
    23,334.04/34,995.86 = 6,694/x
  3. Step 3: Cross multiply
    23,334.04x = 34,995.86 × 6,694
  4. Step 4: Simplify right side
    23,334.04x = 234,262,286.84
  5. Step 5: Solve for x
    x = 234,262,286.84/23,334.04
  6. Step 6: Final answer
    x = 10,039.51

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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.