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Finding the Fourth Proportional to 20,432.80, 30,649.20 and 7,285.60

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Solution

The fourth proportional to 20,432.80, 30,649.20 and 7,285.60 is: 10,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432.80 : 30,649.20 = 7,285.60 : x
  2. Step 2: Convert to fraction form
    20,432.80/30,649.20 = 7,285.60/x
  3. Step 3: Cross multiply
    20,432.80x = 30,649.20 × 7,285.60
  4. Step 4: Simplify right side
    20,432.80x = 223,297,811.52
  5. Step 5: Solve for x
    x = 223,297,811.52/20,432.80
  6. Step 6: Final answer
    x = 10,928.40

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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.