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Finding the Fourth Proportional to 23,908.50, 35,864.37 and 7,269.84

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Solution

The fourth proportional to 23,908.50, 35,864.37 and 7,269.84 is: 10,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,908.50 : 35,864.37 = 7,269.84 : x
  2. Step 2: Convert to fraction form
    23,908.50/35,864.37 = 7,269.84/x
  3. Step 3: Cross multiply
    23,908.50x = 35,864.37 × 7,269.84
  4. Step 4: Simplify right side
    23,908.50x = 260,728,231.60
  5. Step 5: Solve for x
    x = 260,728,231.60/23,908.50
  6. Step 6: Final answer
    x = 10,905.25

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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.