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Finding the Fourth Proportional to 13,876.38, 19,147.84 and 8,211.30

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Solution

The fourth proportional to 13,876.38, 19,147.84 and 8,211.30 is: 11,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.38 : 19,147.84 = 8,211.30 : x
  2. Step 2: Convert to fraction form
    13,876.38/19,147.84 = 8,211.30/x
  3. Step 3: Cross multiply
    13,876.38x = 19,147.84 × 8,211.30
  4. Step 4: Simplify right side
    13,876.38x = 157,228,658.59
  5. Step 5: Solve for x
    x = 157,228,658.59/13,876.38
  6. Step 6: Final answer
    x = 11,330.67

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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.