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Finding the Fourth Proportional to 20,549.30, 30,825.77 and 7,401.78

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Solution

The fourth proportional to 20,549.30, 30,825.77 and 7,401.78 is: 11,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.30 : 30,825.77 = 7,401.78 : x
  2. Step 2: Convert to fraction form
    20,549.30/30,825.77 = 7,401.78/x
  3. Step 3: Cross multiply
    20,549.30x = 30,825.77 × 7,401.78
  4. Step 4: Simplify right side
    20,549.30x = 228,165,530.86
  5. Step 5: Solve for x
    x = 228,165,530.86/20,549.30
  6. Step 6: Final answer
    x = 11,103.33

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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.