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Finding the Fourth Proportional to 23,392.50, 35,094.83 and 6,976.50

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Solution

The fourth proportional to 23,392.50, 35,094.83 and 6,976.50 is: 10,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392.50 : 35,094.83 = 6,976.50 : x
  2. Step 2: Convert to fraction form
    23,392.50/35,094.83 = 6,976.50/x
  3. Step 3: Cross multiply
    23,392.50x = 35,094.83 × 6,976.50
  4. Step 4: Simplify right side
    23,392.50x = 244,839,081.50
  5. Step 5: Solve for x
    x = 244,839,081.50/23,392.50
  6. Step 6: Final answer
    x = 10,466.56

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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.