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Finding the Fourth Proportional to 23,433, 35,141.04 and 9,396.24

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Solution

The fourth proportional to 23,433, 35,141.04 and 9,396.24 is: 14,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433 : 35,141.04 = 9,396.24 : x
  2. Step 2: Convert to fraction form
    23,433/35,141.04 = 9,396.24/x
  3. Step 3: Cross multiply
    23,433x = 35,141.04 × 9,396.24
  4. Step 4: Simplify right side
    23,433x = 330,193,645.69
  5. Step 5: Solve for x
    x = 330,193,645.69/23,433
  6. Step 6: Final answer
    x = 14,090.97

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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.