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Finding the Fourth Proportional to 20,230.38, 27,903.96 and 13,423.14

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Solution

The fourth proportional to 20,230.38, 27,903.96 and 13,423.14 is: 18,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230.38 : 27,903.96 = 13,423.14 : x
  2. Step 2: Convert to fraction form
    20,230.38/27,903.96 = 13,423.14/x
  3. Step 3: Cross multiply
    20,230.38x = 27,903.96 × 13,423.14
  4. Step 4: Simplify right side
    20,230.38x = 374,558,761.63
  5. Step 5: Solve for x
    x = 374,558,761.63/20,230.38
  6. Step 6: Final answer
    x = 18,514.67

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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.