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Finding the Fourth Proportional to 16,165.28, 24,255.48 and 8,369.84

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Solution

The fourth proportional to 16,165.28, 24,255.48 and 8,369.84 is: 12,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.28 : 24,255.48 = 8,369.84 : x
  2. Step 2: Convert to fraction form
    16,165.28/24,255.48 = 8,369.84/x
  3. Step 3: Cross multiply
    16,165.28x = 24,255.48 × 8,369.84
  4. Step 4: Simplify right side
    16,165.28x = 203,014,486.72
  5. Step 5: Solve for x
    x = 203,014,486.72/16,165.28
  6. Step 6: Final answer
    x = 12,558.67

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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.