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Finding the Fourth Proportional to 23,444, 35,174.64 and 12,350.24

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Solution

The fourth proportional to 23,444, 35,174.64 and 12,350.24 is: 18,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444 : 35,174.64 = 12,350.24 : x
  2. Step 2: Convert to fraction form
    23,444/35,174.64 = 12,350.24/x
  3. Step 3: Cross multiply
    23,444x = 35,174.64 × 12,350.24
  4. Step 4: Simplify right side
    23,444x = 434,415,245.91
  5. Step 5: Solve for x
    x = 434,415,245.91/23,444
  6. Step 6: Final answer
    x = 18,529.91

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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.