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Finding the Fourth Proportional to 19,683.49, 27,163.73 and 12,134.81

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Solution

The fourth proportional to 19,683.49, 27,163.73 and 12,134.81 is: 16,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.49 : 27,163.73 = 12,134.81 : x
  2. Step 2: Convert to fraction form
    19,683.49/27,163.73 = 12,134.81/x
  3. Step 3: Cross multiply
    19,683.49x = 27,163.73 × 12,134.81
  4. Step 4: Simplify right side
    19,683.49x = 329,626,702.44
  5. Step 5: Solve for x
    x = 329,626,702.44/19,683.49
  6. Step 6: Final answer
    x = 16,746.35

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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.