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Finding the Fourth Proportional to 12,722.38, 19,081.14 and 3,957.40

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Solution

The fourth proportional to 12,722.38, 19,081.14 and 3,957.40 is: 5,935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.38 : 19,081.14 = 3,957.40 : x
  2. Step 2: Convert to fraction form
    12,722.38/19,081.14 = 3,957.40/x
  3. Step 3: Cross multiply
    12,722.38x = 19,081.14 × 3,957.40
  4. Step 4: Simplify right side
    12,722.38x = 75,511,703.44
  5. Step 5: Solve for x
    x = 75,511,703.44/12,722.38
  6. Step 6: Final answer
    x = 5,935.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.