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Finding the Fourth Proportional to 12,398.77, 18,598.31 and 3,633.86

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Solution

The fourth proportional to 12,398.77, 18,598.31 and 3,633.86 is: 5,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.77 : 18,598.31 = 3,633.86 : x
  2. Step 2: Convert to fraction form
    12,398.77/18,598.31 = 3,633.86/x
  3. Step 3: Cross multiply
    12,398.77x = 18,598.31 × 3,633.86
  4. Step 4: Simplify right side
    12,398.77x = 67,583,696.73
  5. Step 5: Solve for x
    x = 67,583,696.73/12,398.77
  6. Step 6: Final answer
    x = 5,450.84

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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.