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Finding the Fourth Proportional to 12,665.40, 18,998.10 and 12,406.20

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Solution

The fourth proportional to 12,665.40, 18,998.10 and 12,406.20 is: 18,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.40 : 18,998.10 = 12,406.20 : x
  2. Step 2: Convert to fraction form
    12,665.40/18,998.10 = 12,406.20/x
  3. Step 3: Cross multiply
    12,665.40x = 18,998.10 × 12,406.20
  4. Step 4: Simplify right side
    12,665.40x = 235,694,228.22
  5. Step 5: Solve for x
    x = 235,694,228.22/12,665.40
  6. Step 6: Final answer
    x = 18,609.30

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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.