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Finding the Fourth Proportional to 12,826.67, 19,241.34 and 3,466.76

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Solution

The fourth proportional to 12,826.67, 19,241.34 and 3,466.76 is: 5,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.67 : 19,241.34 = 3,466.76 : x
  2. Step 2: Convert to fraction form
    12,826.67/19,241.34 = 3,466.76/x
  3. Step 3: Cross multiply
    12,826.67x = 19,241.34 × 3,466.76
  4. Step 4: Simplify right side
    12,826.67x = 66,705,011.65
  5. Step 5: Solve for x
    x = 66,705,011.65/12,826.67
  6. Step 6: Final answer
    x = 5,200.50

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Why These Related Problems?

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