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Finding the Fourth Proportional to 12,414.98, 18,622.67 and 3,055.02

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Solution

The fourth proportional to 12,414.98, 18,622.67 and 3,055.02 is: 4,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.98 : 18,622.67 = 3,055.02 : x
  2. Step 2: Convert to fraction form
    12,414.98/18,622.67 = 3,055.02/x
  3. Step 3: Cross multiply
    12,414.98x = 18,622.67 × 3,055.02
  4. Step 4: Simplify right side
    12,414.98x = 56,892,614.03
  5. Step 5: Solve for x
    x = 56,892,614.03/12,414.98
  6. Step 6: Final answer
    x = 4,582.58

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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.