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Finding the Fourth Proportional to 12,409.13, 18,616.77 and 3,644.01

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Solution

The fourth proportional to 12,409.13, 18,616.77 and 3,644.01 is: 5,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.13 : 18,616.77 = 3,644.01 : x
  2. Step 2: Convert to fraction form
    12,409.13/18,616.77 = 3,644.01/x
  3. Step 3: Cross multiply
    12,409.13x = 18,616.77 × 3,644.01
  4. Step 4: Simplify right side
    12,409.13x = 67,839,696.05
  5. Step 5: Solve for x
    x = 67,839,696.05/12,409.13
  6. Step 6: Final answer
    x = 5,466.92

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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.