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Finding the Fourth Proportional to 23,224.84, 34,833.10 and 6,805

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Solution

The fourth proportional to 23,224.84, 34,833.10 and 6,805 is: 10,206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.84 : 34,833.10 = 6,805 : x
  2. Step 2: Convert to fraction form
    23,224.84/34,833.10 = 6,805/x
  3. Step 3: Cross multiply
    23,224.84x = 34,833.10 × 6,805
  4. Step 4: Simplify right side
    23,224.84x = 237,039,245.50
  5. Step 5: Solve for x
    x = 237,039,245.50/23,224.84
  6. Step 6: Final answer
    x = 10,206.28

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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.