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Finding the Fourth Proportional to 11,846.37, 17,725.71 and 9,499.20

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Solution

The fourth proportional to 11,846.37, 17,725.71 and 9,499.20 is: 14,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.37 : 17,725.71 = 9,499.20 : x
  2. Step 2: Convert to fraction form
    11,846.37/17,725.71 = 9,499.20/x
  3. Step 3: Cross multiply
    11,846.37x = 17,725.71 × 9,499.20
  4. Step 4: Simplify right side
    11,846.37x = 168,380,064.43
  5. Step 5: Solve for x
    x = 168,380,064.43/11,846.37
  6. Step 6: Final answer
    x = 14,213.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.