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Finding the Fourth Proportional to 24,740, 37,076.24 and 11,405.24

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Solution

The fourth proportional to 24,740, 37,076.24 and 11,405.24 is: 17,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740 : 37,076.24 = 11,405.24 : x
  2. Step 2: Convert to fraction form
    24,740/37,076.24 = 11,405.24/x
  3. Step 3: Cross multiply
    24,740x = 37,076.24 × 11,405.24
  4. Step 4: Simplify right side
    24,740x = 422,863,415.50
  5. Step 5: Solve for x
    x = 422,863,415.50/24,740
  6. Step 6: Final answer
    x = 17,092.30

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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.