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Finding the Fourth Proportional to 20,204.60, 30,311.78 and 6,353.60

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Solution

The fourth proportional to 20,204.60, 30,311.78 and 6,353.60 is: 9,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,204.60 : 30,311.78 = 6,353.60 : x
  2. Step 2: Convert to fraction form
    20,204.60/30,311.78 = 6,353.60/x
  3. Step 3: Cross multiply
    20,204.60x = 30,311.78 × 6,353.60
  4. Step 4: Simplify right side
    20,204.60x = 192,588,925.41
  5. Step 5: Solve for x
    x = 192,588,925.41/20,204.60
  6. Step 6: Final answer
    x = 9,531.93

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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.