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Finding the Fourth Proportional to 24,157.53, 36,238.78 and 8,362.54

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Solution

The fourth proportional to 24,157.53, 36,238.78 and 8,362.54 is: 12,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157.53 : 36,238.78 = 8,362.54 : x
  2. Step 2: Convert to fraction form
    24,157.53/36,238.78 = 8,362.54/x
  3. Step 3: Cross multiply
    24,157.53x = 36,238.78 × 8,362.54
  4. Step 4: Simplify right side
    24,157.53x = 303,048,247.30
  5. Step 5: Solve for x
    x = 303,048,247.30/24,157.53
  6. Step 6: Final answer
    x = 12,544.67

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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.