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Finding the Fourth Proportional to 24,845.32, 37,274.19 and 8,206.30

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Solution

The fourth proportional to 24,845.32, 37,274.19 and 8,206.30 is: 12,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,845.32 : 37,274.19 = 8,206.30 : x
  2. Step 2: Convert to fraction form
    24,845.32/37,274.19 = 8,206.30/x
  3. Step 3: Cross multiply
    24,845.32x = 37,274.19 × 8,206.30
  4. Step 4: Simplify right side
    24,845.32x = 305,883,185.40
  5. Step 5: Solve for x
    x = 305,883,185.40/24,845.32
  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.