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Finding the Fourth Proportional to 12,879.42, 17,772.12 and 7,213.38

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Solution

The fourth proportional to 12,879.42, 17,772.12 and 7,213.38 is: 9,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.42 : 17,772.12 = 7,213.38 : x
  2. Step 2: Convert to fraction form
    12,879.42/17,772.12 = 7,213.38/x
  3. Step 3: Cross multiply
    12,879.42x = 17,772.12 × 7,213.38
  4. Step 4: Simplify right side
    12,879.42x = 128,197,054.97
  5. Step 5: Solve for x
    x = 128,197,054.97/12,879.42
  6. Step 6: Final answer
    x = 9,953.64

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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.