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Finding the Fourth Proportional to 24,536.53, 36,797.46 and 8,738.74

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Solution

The fourth proportional to 24,536.53, 36,797.46 and 8,738.74 is: 13,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536.53 : 36,797.46 = 8,738.74 : x
  2. Step 2: Convert to fraction form
    24,536.53/36,797.46 = 8,738.74/x
  3. Step 3: Cross multiply
    24,536.53x = 36,797.46 × 8,738.74
  4. Step 4: Simplify right side
    24,536.53x = 321,563,435.60
  5. Step 5: Solve for x
    x = 321,563,435.60/24,536.53
  6. Step 6: Final answer
    x = 13,105.50

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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.