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Finding the Fourth Proportional to 17,874.09, 26,795.93 and 7,871.31

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Solution

The fourth proportional to 17,874.09, 26,795.93 and 7,871.31 is: 11,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.09 : 26,795.93 = 7,871.31 : x
  2. Step 2: Convert to fraction form
    17,874.09/26,795.93 = 7,871.31/x
  3. Step 3: Cross multiply
    17,874.09x = 26,795.93 × 7,871.31
  4. Step 4: Simplify right side
    17,874.09x = 210,919,032.41
  5. Step 5: Solve for x
    x = 210,919,032.41/17,874.09
  6. Step 6: Final answer
    x = 11,800.27

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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.