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Finding the Fourth Proportional to 12,464.13, 18,696.18 and 3,698.96

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Solution

The fourth proportional to 12,464.13, 18,696.18 and 3,698.96 is: 5,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.13 : 18,696.18 = 3,698.96 : x
  2. Step 2: Convert to fraction form
    12,464.13/18,696.18 = 3,698.96/x
  3. Step 3: Cross multiply
    12,464.13x = 18,696.18 × 3,698.96
  4. Step 4: Simplify right side
    12,464.13x = 69,156,421.97
  5. Step 5: Solve for x
    x = 69,156,421.97/12,464.13
  6. Step 6: Final answer
    x = 5,548.44

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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.