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Finding the Fourth Proportional to 19,852.81, 27,399.32 and 11,469.31

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Solution

The fourth proportional to 19,852.81, 27,399.32 and 11,469.31 is: 15,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.81 : 27,399.32 = 11,469.31 : x
  2. Step 2: Convert to fraction form
    19,852.81/27,399.32 = 11,469.31/x
  3. Step 3: Cross multiply
    19,852.81x = 27,399.32 × 11,469.31
  4. Step 4: Simplify right side
    19,852.81x = 314,251,294.87
  5. Step 5: Solve for x
    x = 314,251,294.87/19,852.81
  6. Step 6: Final answer
    x = 15,829.06

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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.