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Finding the Fourth Proportional to 24,803.79, 37,205.24 and 8,163.96

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Solution

The fourth proportional to 24,803.79, 37,205.24 and 8,163.96 is: 12,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,803.79 : 37,205.24 = 8,163.96 : x
  2. Step 2: Convert to fraction form
    24,803.79/37,205.24 = 8,163.96/x
  3. Step 3: Cross multiply
    24,803.79x = 37,205.24 × 8,163.96
  4. Step 4: Simplify right side
    24,803.79x = 303,742,050.33
  5. Step 5: Solve for x
    x = 303,742,050.33/24,803.79
  6. Step 6: Final answer
    x = 12,245.79

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1.5x scale

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.