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Finding the Fourth Proportional to 20,514.98, 30,760.16 and 9,407.75

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Solution

The fourth proportional to 20,514.98, 30,760.16 and 9,407.75 is: 14,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.98 : 30,760.16 = 9,407.75 : x
  2. Step 2: Convert to fraction form
    20,514.98/30,760.16 = 9,407.75/x
  3. Step 3: Cross multiply
    20,514.98x = 30,760.16 × 9,407.75
  4. Step 4: Simplify right side
    20,514.98x = 289,383,918.76
  5. Step 5: Solve for x
    x = 289,383,918.76/20,514.98
  6. Step 6: Final answer
    x = 14,105.98

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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.