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Finding the Fourth Proportional to 19,683, 27,163.04 and 12,134.31

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Solution

The fourth proportional to 19,683, 27,163.04 and 12,134.31 is: 16,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 27,163.04 = 12,134.31 : x
  2. Step 2: Convert to fraction form
    19,683/27,163.04 = 12,134.31/x
  3. Step 3: Cross multiply
    19,683x = 27,163.04 × 12,134.31
  4. Step 4: Simplify right side
    19,683x = 329,604,747.90
  5. Step 5: Solve for x
    x = 329,604,747.90/19,683
  6. Step 6: Final answer
    x = 16,745.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.