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Finding the Fourth Proportional to 18,553.68, 25,604.28 and 10,170

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Solution

The fourth proportional to 18,553.68, 25,604.28 and 10,170 is: 14,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553.68 : 25,604.28 = 10,170 : x
  2. Step 2: Convert to fraction form
    18,553.68/25,604.28 = 10,170/x
  3. Step 3: Cross multiply
    18,553.68x = 25,604.28 × 10,170
  4. Step 4: Simplify right side
    18,553.68x = 260,395,527.60
  5. Step 5: Solve for x
    x = 260,395,527.60/18,553.68
  6. Step 6: Final answer
    x = 14,034.71

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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.