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Finding the Fourth Proportional to 23,841, 35,749.92 and 7,197.84

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Solution

The fourth proportional to 23,841, 35,749.92 and 7,197.84 is: 10,793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841 : 35,749.92 = 7,197.84 : x
  2. Step 2: Convert to fraction form
    23,841/35,749.92 = 7,197.84/x
  3. Step 3: Cross multiply
    23,841x = 35,749.92 × 7,197.84
  4. Step 4: Simplify right side
    23,841x = 257,322,204.17
  5. Step 5: Solve for x
    x = 257,322,204.17/23,841
  6. Step 6: Final answer
    x = 10,793.26

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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.