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Finding the Fourth Proportional to 19,795, 29,705.46 and 7,483

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Solution

The fourth proportional to 19,795, 29,705.46 and 7,483 is: 11,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,795 : 29,705.46 = 7,483 : x
  2. Step 2: Convert to fraction form
    19,795/29,705.46 = 7,483/x
  3. Step 3: Cross multiply
    19,795x = 29,705.46 × 7,483
  4. Step 4: Simplify right side
    19,795x = 222,285,957.18
  5. Step 5: Solve for x
    x = 222,285,957.18/19,795
  6. Step 6: Final answer
    x = 11,229.40

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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.