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Finding the Fourth Proportional to 11,814.13, 17,721.19 and 8,105.11

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Solution

The fourth proportional to 11,814.13, 17,721.19 and 8,105.11 is: 12,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.13 : 17,721.19 = 8,105.11 : x
  2. Step 2: Convert to fraction form
    11,814.13/17,721.19 = 8,105.11/x
  3. Step 3: Cross multiply
    11,814.13x = 17,721.19 × 8,105.11
  4. Step 4: Simplify right side
    11,814.13x = 143,632,271.19
  5. Step 5: Solve for x
    x = 143,632,271.19/11,814.13
  6. Step 6: Final answer
    x = 12,157.67

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Similar ratio
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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.