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Finding the Fourth Proportional to 13,537.43, 18,674.16 and 7,871.55

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Solution

The fourth proportional to 13,537.43, 18,674.16 and 7,871.55 is: 10,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.43 : 18,674.16 = 7,871.55 : x
  2. Step 2: Convert to fraction form
    13,537.43/18,674.16 = 7,871.55/x
  3. Step 3: Cross multiply
    13,537.43x = 18,674.16 × 7,871.55
  4. Step 4: Simplify right side
    13,537.43x = 146,994,584.15
  5. Step 5: Solve for x
    x = 146,994,584.15/13,537.43
  6. Step 6: Final answer
    x = 10,858.38

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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.