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Finding the Fourth Proportional to 24,762.77, 37,144.02 and 8,122.67

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Solution

The fourth proportional to 24,762.77, 37,144.02 and 8,122.67 is: 12,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.77 : 37,144.02 = 8,122.67 : x
  2. Step 2: Convert to fraction form
    24,762.77/37,144.02 = 8,122.67/x
  3. Step 3: Cross multiply
    24,762.77x = 37,144.02 × 8,122.67
  4. Step 4: Simplify right side
    24,762.77x = 301,708,616.93
  5. Step 5: Solve for x
    x = 301,708,616.93/24,762.77
  6. Step 6: Final answer
    x = 12,183.96

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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.