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Finding the Fourth Proportional to 13,854.38, 19,114.92 and 8,189.64

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Solution

The fourth proportional to 13,854.38, 19,114.92 and 8,189.64 is: 11,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.38 : 19,114.92 = 8,189.64 : x
  2. Step 2: Convert to fraction form
    13,854.38/19,114.92 = 8,189.64/x
  3. Step 3: Cross multiply
    13,854.38x = 19,114.92 × 8,189.64
  4. Step 4: Simplify right side
    13,854.38x = 156,544,313.43
  5. Step 5: Solve for x
    x = 156,544,313.43/13,854.38
  6. Step 6: Final answer
    x = 11,299.27

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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.