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Finding the Fourth Proportional to 12,846.96, 17,728.74 and 7,467.48

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Solution

The fourth proportional to 12,846.96, 17,728.74 and 7,467.48 is: 10,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.96 : 17,728.74 = 7,467.48 : x
  2. Step 2: Convert to fraction form
    12,846.96/17,728.74 = 7,467.48/x
  3. Step 3: Cross multiply
    12,846.96x = 17,728.74 × 7,467.48
  4. Step 4: Simplify right side
    12,846.96x = 132,389,011.38
  5. Step 5: Solve for x
    x = 132,389,011.38/12,846.96
  6. Step 6: Final answer
    x = 10,305.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.