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Finding the Fourth Proportional to 12,841.34, 19,262.09 and 3,956.56

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Solution

The fourth proportional to 12,841.34, 19,262.09 and 3,956.56 is: 5,934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.34 : 19,262.09 = 3,956.56 : x
  2. Step 2: Convert to fraction form
    12,841.34/19,262.09 = 3,956.56/x
  3. Step 3: Cross multiply
    12,841.34x = 19,262.09 × 3,956.56
  4. Step 4: Simplify right side
    12,841.34x = 76,211,614.81
  5. Step 5: Solve for x
    x = 76,211,614.81/12,841.34
  6. Step 6: Final answer
    x = 5,934.86

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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.