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Finding the Fourth Proportional to 12,942.27, 19,408.49 and 4,620.74

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Solution

The fourth proportional to 12,942.27, 19,408.49 and 4,620.74 is: 6,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.27 : 19,408.49 = 4,620.74 : x
  2. Step 2: Convert to fraction form
    12,942.27/19,408.49 = 4,620.74/x
  3. Step 3: Cross multiply
    12,942.27x = 19,408.49 × 4,620.74
  4. Step 4: Simplify right side
    12,942.27x = 89,681,489.04
  5. Step 5: Solve for x
    x = 89,681,489.04/12,942.27
  6. Step 6: Final answer
    x = 6,929.35

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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.