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Finding the Fourth Proportional to 12,823, 19,234.50 and 4,615

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Solution

The fourth proportional to 12,823, 19,234.50 and 4,615 is: 6,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823 : 19,234.50 = 4,615 : x
  2. Step 2: Convert to fraction form
    12,823/19,234.50 = 4,615/x
  3. Step 3: Cross multiply
    12,823x = 19,234.50 × 4,615
  4. Step 4: Simplify right side
    12,823x = 88,767,217.50
  5. Step 5: Solve for x
    x = 88,767,217.50/12,823
  6. Step 6: Final answer
    x = 6,922.50

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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.