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Finding the Fourth Proportional to 12,165.10, 18,246.30 and 3,400.90

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Solution

The fourth proportional to 12,165.10, 18,246.30 and 3,400.90 is: 5,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.10 : 18,246.30 = 3,400.90 : x
  2. Step 2: Convert to fraction form
    12,165.10/18,246.30 = 3,400.90/x
  3. Step 3: Cross multiply
    12,165.10x = 18,246.30 × 3,400.90
  4. Step 4: Simplify right side
    12,165.10x = 62,053,841.67
  5. Step 5: Solve for x
    x = 62,053,841.67/12,165.10
  6. Step 6: Final answer
    x = 5,100.97

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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.