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Finding the Fourth Proportional to 20,602.40, 30,911.70 and 8,120.30

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Solution

The fourth proportional to 20,602.40, 30,911.70 and 8,120.30 is: 12,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,602.40 : 30,911.70 = 8,120.30 : x
  2. Step 2: Convert to fraction form
    20,602.40/30,911.70 = 8,120.30/x
  3. Step 3: Cross multiply
    20,602.40x = 30,911.70 × 8,120.30
  4. Step 4: Simplify right side
    20,602.40x = 251,012,277.51
  5. Step 5: Solve for x
    x = 251,012,277.51/20,602.40
  6. Step 6: Final answer
    x = 12,183.64

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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.