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Finding the Fourth Proportional to 43,783.20, 65,674.80 and 12,193.20

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Solution

The fourth proportional to 43,783.20, 65,674.80 and 12,193.20 is: 18,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,783.20 : 65,674.80 = 12,193.20 : x
  2. Step 2: Convert to fraction form
    43,783.20/65,674.80 = 12,193.20/x
  3. Step 3: Cross multiply
    43,783.20x = 65,674.80 × 12,193.20
  4. Step 4: Simplify right side
    43,783.20x = 800,785,971.36
  5. Step 5: Solve for x
    x = 800,785,971.36/43,783.20
  6. Step 6: Final answer
    x = 18,289.80

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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.