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Finding the Fourth Proportional to 19,830.76, 27,367.30 and 11,871.44

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Solution

The fourth proportional to 19,830.76, 27,367.30 and 11,871.44 is: 16,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.76 : 27,367.30 = 11,871.44 : x
  2. Step 2: Convert to fraction form
    19,830.76/27,367.30 = 11,871.44/x
  3. Step 3: Cross multiply
    19,830.76x = 27,367.30 × 11,871.44
  4. Step 4: Simplify right side
    19,830.76x = 324,889,394.48
  5. Step 5: Solve for x
    x = 324,889,394.48/19,830.76
  6. Step 6: Final answer
    x = 16,383.11

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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.