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Finding the Fourth Proportional to 19,782.58, 27,287.67 and 12,231.22

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Solution

The fourth proportional to 19,782.58, 27,287.67 and 12,231.22 is: 16,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.58 : 27,287.67 = 12,231.22 : x
  2. Step 2: Convert to fraction form
    19,782.58/27,287.67 = 12,231.22/x
  3. Step 3: Cross multiply
    19,782.58x = 27,287.67 × 12,231.22
  4. Step 4: Simplify right side
    19,782.58x = 333,761,495.06
  5. Step 5: Solve for x
    x = 333,761,495.06/19,782.58
  6. Step 6: Final answer
    x = 16,871.48

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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.