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Finding the Fourth Proportional to 12,846.96, 19,270.83 and 3,486.95

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Solution

The fourth proportional to 12,846.96, 19,270.83 and 3,486.95 is: 5,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.96 : 19,270.83 = 3,486.95 : x
  2. Step 2: Convert to fraction form
    12,846.96/19,270.83 = 3,486.95/x
  3. Step 3: Cross multiply
    12,846.96x = 19,270.83 × 3,486.95
  4. Step 4: Simplify right side
    12,846.96x = 67,196,324.31
  5. Step 5: Solve for x
    x = 67,196,324.31/12,846.96
  6. Step 6: Final answer
    x = 5,230.52

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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.