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Finding the Fourth Proportional to 24,980, 37,470.72 and 7,449.44

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Solution

The fourth proportional to 24,980, 37,470.72 and 7,449.44 is: 11,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,980 : 37,470.72 = 7,449.44 : x
  2. Step 2: Convert to fraction form
    24,980/37,470.72 = 7,449.44/x
  3. Step 3: Cross multiply
    24,980x = 37,470.72 × 7,449.44
  4. Step 4: Simplify right side
    24,980x = 279,135,880.40
  5. Step 5: Solve for x
    x = 279,135,880.40/24,980
  6. Step 6: Final answer
    x = 11,174.37

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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.