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Finding the Fourth Proportional to 18,533.50, 25,576.32 and 10,150

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Solution

The fourth proportional to 18,533.50, 25,576.32 and 10,150 is: 14,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.50 : 25,576.32 = 10,150 : x
  2. Step 2: Convert to fraction form
    18,533.50/25,576.32 = 10,150/x
  3. Step 3: Cross multiply
    18,533.50x = 25,576.32 × 10,150
  4. Step 4: Simplify right side
    18,533.50x = 259,599,648
  5. Step 5: Solve for x
    x = 259,599,648/18,533.50
  6. Step 6: Final answer
    x = 14,007.05

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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.