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Finding the Fourth Proportional to 19,834, 29,750.80 and 5,983

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Solution

The fourth proportional to 19,834, 29,750.80 and 5,983 is: 8,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834 : 29,750.80 = 5,983 : x
  2. Step 2: Convert to fraction form
    19,834/29,750.80 = 5,983/x
  3. Step 3: Cross multiply
    19,834x = 29,750.80 × 5,983
  4. Step 4: Simplify right side
    19,834x = 177,999,036.40
  5. Step 5: Solve for x
    x = 177,999,036.40/19,834
  6. Step 6: Final answer
    x = 8,974.44

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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.