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Finding the Fourth Proportional to 20,253.84, 30,380.58 and 6,402.84

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Solution

The fourth proportional to 20,253.84, 30,380.58 and 6,402.84 is: 9,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253.84 : 30,380.58 = 6,402.84 : x
  2. Step 2: Convert to fraction form
    20,253.84/30,380.58 = 6,402.84/x
  3. Step 3: Cross multiply
    20,253.84x = 30,380.58 × 6,402.84
  4. Step 4: Simplify right side
    20,253.84x = 194,521,992.85
  5. Step 5: Solve for x
    x = 194,521,992.85/20,253.84
  6. Step 6: Final answer
    x = 9,604.20

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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.