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Finding the Fourth Proportional to 22,273, 33,409.50 and 5,857

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Solution

The fourth proportional to 22,273, 33,409.50 and 5,857 is: 8,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,273 : 33,409.50 = 5,857 : x
  2. Step 2: Convert to fraction form
    22,273/33,409.50 = 5,857/x
  3. Step 3: Cross multiply
    22,273x = 33,409.50 × 5,857
  4. Step 4: Simplify right side
    22,273x = 195,679,441.50
  5. Step 5: Solve for x
    x = 195,679,441.50/22,273
  6. Step 6: Final answer
    x = 8,785.50

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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.