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Finding the Fourth Proportional to 23,174.70, 34,675.92 and 13,819.80

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Solution

The fourth proportional to 23,174.70, 34,675.92 and 13,819.80 is: 20,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.70 : 34,675.92 = 13,819.80 : x
  2. Step 2: Convert to fraction form
    23,174.70/34,675.92 = 13,819.80/x
  3. Step 3: Cross multiply
    23,174.70x = 34,675.92 × 13,819.80
  4. Step 4: Simplify right side
    23,174.70x = 479,214,279.22
  5. Step 5: Solve for x
    x = 479,214,279.22/23,174.70
  6. Step 6: Final answer
    x = 20,678.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.