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Finding the Fourth Proportional to 20,485.86, 30,704.49 and 8,774.34

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Solution

The fourth proportional to 20,485.86, 30,704.49 and 8,774.34 is: 13,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485.86 : 30,704.49 = 8,774.34 : x
  2. Step 2: Convert to fraction form
    20,485.86/30,704.49 = 8,774.34/x
  3. Step 3: Cross multiply
    20,485.86x = 30,704.49 × 8,774.34
  4. Step 4: Simplify right side
    20,485.86x = 269,411,634.79
  5. Step 5: Solve for x
    x = 269,411,634.79/20,485.86
  6. Step 6: Final answer
    x = 13,151.10

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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.