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Finding the Fourth Proportional to 12,353.81, 18,519.86 and 6,418.19

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Solution

The fourth proportional to 12,353.81, 18,519.86 and 6,418.19 is: 9,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.81 : 18,519.86 = 6,418.19 : x
  2. Step 2: Convert to fraction form
    12,353.81/18,519.86 = 6,418.19/x
  3. Step 3: Cross multiply
    12,353.81x = 18,519.86 × 6,418.19
  4. Step 4: Simplify right side
    12,353.81x = 118,864,042.60
  5. Step 5: Solve for x
    x = 118,864,042.60/12,353.81
  6. Step 6: Final answer
    x = 9,621.65

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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.