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Finding the Fourth Proportional to 12,924.48, 19,410.48 and 8,004

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Solution

The fourth proportional to 12,924.48, 19,410.48 and 8,004 is: 12,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.48 : 19,410.48 = 8,004 : x
  2. Step 2: Convert to fraction form
    12,924.48/19,410.48 = 8,004/x
  3. Step 3: Cross multiply
    12,924.48x = 19,410.48 × 8,004
  4. Step 4: Simplify right side
    12,924.48x = 155,361,481.92
  5. Step 5: Solve for x
    x = 155,361,481.92/12,924.48
  6. Step 6: Final answer
    x = 12,020.71

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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.