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Finding the Fourth Proportional to 20,255.84, 30,383.58 and 6,404.84

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Solution

The fourth proportional to 20,255.84, 30,383.58 and 6,404.84 is: 9,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255.84 : 30,383.58 = 6,404.84 : x
  2. Step 2: Convert to fraction form
    20,255.84/30,383.58 = 6,404.84/x
  3. Step 3: Cross multiply
    20,255.84x = 30,383.58 × 6,404.84
  4. Step 4: Simplify right side
    20,255.84x = 194,601,968.53
  5. Step 5: Solve for x
    x = 194,601,968.53/20,255.84
  6. Step 6: Final answer
    x = 9,607.20

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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.