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Finding the Fourth Proportional to 18,137.89, 25,031.48 and 10,180.65

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Solution

The fourth proportional to 18,137.89, 25,031.48 and 10,180.65 is: 14,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.89 : 25,031.48 = 10,180.65 : x
  2. Step 2: Convert to fraction form
    18,137.89/25,031.48 = 10,180.65/x
  3. Step 3: Cross multiply
    18,137.89x = 25,031.48 × 10,180.65
  4. Step 4: Simplify right side
    18,137.89x = 254,836,736.86
  5. Step 5: Solve for x
    x = 254,836,736.86/18,137.89
  6. Step 6: Final answer
    x = 14,049.97

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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.