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Finding the Fourth Proportional to 18,138.14, 25,031.83 and 10,180.90

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Solution

The fourth proportional to 18,138.14, 25,031.83 and 10,180.90 is: 14,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.14 : 25,031.83 = 10,180.90 : x
  2. Step 2: Convert to fraction form
    18,138.14/25,031.83 = 10,180.90/x
  3. Step 3: Cross multiply
    18,138.14x = 25,031.83 × 10,180.90
  4. Step 4: Simplify right side
    18,138.14x = 254,846,558.05
  5. Step 5: Solve for x
    x = 254,846,558.05/18,138.14
  6. Step 6: Final answer
    x = 14,050.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.