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Finding the Fourth Proportional to 20,514.94, 30,777.95 and 6,475.54

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Solution

The fourth proportional to 20,514.94, 30,777.95 and 6,475.54 is: 9,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.94 : 30,777.95 = 6,475.54 : x
  2. Step 2: Convert to fraction form
    20,514.94/30,777.95 = 6,475.54/x
  3. Step 3: Cross multiply
    20,514.94x = 30,777.95 × 6,475.54
  4. Step 4: Simplify right side
    20,514.94x = 199,303,846.34
  5. Step 5: Solve for x
    x = 199,303,846.34/20,514.94
  6. Step 6: Final answer
    x = 9,715.06

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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.