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Finding the Fourth Proportional to 20,419.99, 30,623.50 and 6,565.75

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Solution

The fourth proportional to 20,419.99, 30,623.50 and 6,565.75 is: 9,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.99 : 30,623.50 = 6,565.75 : x
  2. Step 2: Convert to fraction form
    20,419.99/30,623.50 = 6,565.75/x
  3. Step 3: Cross multiply
    20,419.99x = 30,623.50 × 6,565.75
  4. Step 4: Simplify right side
    20,419.99x = 201,066,245.13
  5. Step 5: Solve for x
    x = 201,066,245.13/20,419.99
  6. Step 6: Final answer
    x = 9,846.54

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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.