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Finding the Fourth Proportional to 11,725.48, 17,578.35 and 8,018.64

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Solution

The fourth proportional to 11,725.48, 17,578.35 and 8,018.64 is: 12,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.48 : 17,578.35 = 8,018.64 : x
  2. Step 2: Convert to fraction form
    11,725.48/17,578.35 = 8,018.64/x
  3. Step 3: Cross multiply
    11,725.48x = 17,578.35 × 8,018.64
  4. Step 4: Simplify right side
    11,725.48x = 140,954,460.44
  5. Step 5: Solve for x
    x = 140,954,460.44/11,725.48
  6. Step 6: Final answer
    x = 12,021.21

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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.