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Finding the Fourth Proportional to 19,683, 29,529.36 and 5,832

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Solution

The fourth proportional to 19,683, 29,529.36 and 5,832 is: 8,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 29,529.36 = 5,832 : x
  2. Step 2: Convert to fraction form
    19,683/29,529.36 = 5,832/x
  3. Step 3: Cross multiply
    19,683x = 29,529.36 × 5,832
  4. Step 4: Simplify right side
    19,683x = 172,215,227.52
  5. Step 5: Solve for x
    x = 172,215,227.52/19,683
  6. Step 6: Final answer
    x = 8,749.44

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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.