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Finding the Fourth Proportional to 21,020.99, 31,514.40 and 8,546.85

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Solution

The fourth proportional to 21,020.99, 31,514.40 and 8,546.85 is: 12,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,020.99 : 31,514.40 = 8,546.85 : x
  2. Step 2: Convert to fraction form
    21,020.99/31,514.40 = 8,546.85/x
  3. Step 3: Cross multiply
    21,020.99x = 31,514.40 × 8,546.85
  4. Step 4: Simplify right side
    21,020.99x = 269,348,849.64
  5. Step 5: Solve for x
    x = 269,348,849.64/21,020.99
  6. Step 6: Final answer
    x = 12,813.33

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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.