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Finding the Fourth Proportional to 22,942.93, 31,661.31 and 12,871.38

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Solution

The fourth proportional to 22,942.93, 31,661.31 and 12,871.38 is: 17,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.93 : 31,661.31 = 12,871.38 : x
  2. Step 2: Convert to fraction form
    22,942.93/31,661.31 = 12,871.38/x
  3. Step 3: Cross multiply
    22,942.93x = 31,661.31 × 12,871.38
  4. Step 4: Simplify right side
    22,942.93x = 407,524,594.00
  5. Step 5: Solve for x
    x = 407,524,594.00/22,942.93
  6. Step 6: Final answer
    x = 17,762.54

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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.