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Finding the Fourth Proportional to 18,242.22, 25,173.50 and 10,286.10

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Solution

The fourth proportional to 18,242.22, 25,173.50 and 10,286.10 is: 14,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,242.22 : 25,173.50 = 10,286.10 : x
  2. Step 2: Convert to fraction form
    18,242.22/25,173.50 = 10,286.10/x
  3. Step 3: Cross multiply
    18,242.22x = 25,173.50 × 10,286.10
  4. Step 4: Simplify right side
    18,242.22x = 258,937,138.35
  5. Step 5: Solve for x
    x = 258,937,138.35/18,242.22
  6. Step 6: Final answer
    x = 14,194.39

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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.