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Finding the Fourth Proportional to 23,884.75, 35,827.44 and 9,094.48

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Solution

The fourth proportional to 23,884.75, 35,827.44 and 9,094.48 is: 13,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.75 : 35,827.44 = 9,094.48 : x
  2. Step 2: Convert to fraction form
    23,884.75/35,827.44 = 9,094.48/x
  3. Step 3: Cross multiply
    23,884.75x = 35,827.44 × 9,094.48
  4. Step 4: Simplify right side
    23,884.75x = 325,831,846.96
  5. Step 5: Solve for x
    x = 325,831,846.96/23,884.75
  6. Step 6: Final answer
    x = 13,641.84

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Why These Related Problems?

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