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Finding the Fourth Proportional to 20,514.01, 30,771.02 and 6,475.13

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Solution

The fourth proportional to 20,514.01, 30,771.02 and 6,475.13 is: 9,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.01 : 30,771.02 = 6,475.13 : x
  2. Step 2: Convert to fraction form
    20,514.01/30,771.02 = 6,475.13/x
  3. Step 3: Cross multiply
    20,514.01x = 30,771.02 × 6,475.13
  4. Step 4: Simplify right side
    20,514.01x = 199,246,354.73
  5. Step 5: Solve for x
    x = 199,246,354.73/20,514.01
  6. Step 6: Final answer
    x = 9,712.70

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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.