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Finding the Fourth Proportional to 19,683, 27,163.08 and 11,300.04

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Solution

The fourth proportional to 19,683, 27,163.08 and 11,300.04 is: 15,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 27,163.08 = 11,300.04 : x
  2. Step 2: Convert to fraction form
    19,683/27,163.08 = 11,300.04/x
  3. Step 3: Cross multiply
    19,683x = 27,163.08 × 11,300.04
  4. Step 4: Simplify right side
    19,683x = 306,943,890.52
  5. Step 5: Solve for x
    x = 306,943,890.52/19,683
  6. Step 6: Final answer
    x = 15,594.37

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Why These Related Problems?

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