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Finding the Fourth Proportional to 24,010, 36,014.88 and 6,481.60

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Solution

The fourth proportional to 24,010, 36,014.88 and 6,481.60 is: 9,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,010 : 36,014.88 = 6,481.60 : x
  2. Step 2: Convert to fraction form
    24,010/36,014.88 = 6,481.60/x
  3. Step 3: Cross multiply
    24,010x = 36,014.88 × 6,481.60
  4. Step 4: Simplify right side
    24,010x = 233,434,046.21
  5. Step 5: Solve for x
    x = 233,434,046.21/24,010
  6. Step 6: Final answer
    x = 9,722.37

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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.