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Finding the Fourth Proportional to 24,852.44, 37,270.78 and 8,209.40

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Solution

The fourth proportional to 24,852.44, 37,270.78 and 8,209.40 is: 12,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.44 : 37,270.78 = 8,209.40 : x
  2. Step 2: Convert to fraction form
    24,852.44/37,270.78 = 8,209.40/x
  3. Step 3: Cross multiply
    24,852.44x = 37,270.78 × 8,209.40
  4. Step 4: Simplify right side
    24,852.44x = 305,970,741.33
  5. Step 5: Solve for x
    x = 305,970,741.33/24,852.44
  6. Step 6: Final answer
    x = 12,311.50

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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.