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Finding the Fourth Proportional to 19,782.33, 27,287.32 and 12,230.97

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Solution

The fourth proportional to 19,782.33, 27,287.32 and 12,230.97 is: 16,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.33 : 27,287.32 = 12,230.97 : x
  2. Step 2: Convert to fraction form
    19,782.33/27,287.32 = 12,230.97/x
  3. Step 3: Cross multiply
    19,782.33x = 27,287.32 × 12,230.97
  4. Step 4: Simplify right side
    19,782.33x = 333,750,392.30
  5. Step 5: Solve for x
    x = 333,750,392.30/19,782.33
  6. Step 6: Final answer
    x = 16,871.14

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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.