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Finding the Fourth Proportional to 14,960.10, 20,645.02 and 8,245.38

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Solution

The fourth proportional to 14,960.10, 20,645.02 and 8,245.38 is: 11,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,960.10 : 20,645.02 = 8,245.38 : x
  2. Step 2: Convert to fraction form
    14,960.10/20,645.02 = 8,245.38/x
  3. Step 3: Cross multiply
    14,960.10x = 20,645.02 × 8,245.38
  4. Step 4: Simplify right side
    14,960.10x = 170,226,035.01
  5. Step 5: Solve for x
    x = 170,226,035.01/14,960.10
  6. Step 6: Final answer
    x = 11,378.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.