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Finding the Fourth Proportional to 20,514.49, 30,771.87 and 7,366.98

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Solution

The fourth proportional to 20,514.49, 30,771.87 and 7,366.98 is: 11,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.49 : 30,771.87 = 7,366.98 : x
  2. Step 2: Convert to fraction form
    20,514.49/30,771.87 = 7,366.98/x
  3. Step 3: Cross multiply
    20,514.49x = 30,771.87 × 7,366.98
  4. Step 4: Simplify right side
    20,514.49x = 226,695,750.85
  5. Step 5: Solve for x
    x = 226,695,750.85/20,514.49
  6. Step 6: Final answer
    x = 11,050.52

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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.