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Finding the Fourth Proportional to 14,566.92, 20,102.49 and 8,279.34

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Solution

The fourth proportional to 14,566.92, 20,102.49 and 8,279.34 is: 11,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.92 : 20,102.49 = 8,279.34 : x
  2. Step 2: Convert to fraction form
    14,566.92/20,102.49 = 8,279.34/x
  3. Step 3: Cross multiply
    14,566.92x = 20,102.49 × 8,279.34
  4. Step 4: Simplify right side
    14,566.92x = 166,435,349.56
  5. Step 5: Solve for x
    x = 166,435,349.56/14,566.92
  6. Step 6: Final answer
    x = 11,425.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.