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Finding the Fourth Proportional to 12,465.63, 18,682.85 and 6,227.38

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Solution

The fourth proportional to 12,465.63, 18,682.85 and 6,227.38 is: 9,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.63 : 18,682.85 = 6,227.38 : x
  2. Step 2: Convert to fraction form
    12,465.63/18,682.85 = 6,227.38/x
  3. Step 3: Cross multiply
    12,465.63x = 18,682.85 × 6,227.38
  4. Step 4: Simplify right side
    12,465.63x = 116,345,206.43
  5. Step 5: Solve for x
    x = 116,345,206.43/12,465.63
  6. Step 6: Final answer
    x = 9,333.28

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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.