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Finding the Fourth Proportional to 12,446.21, 18,669.47 and 3,681.30

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Solution

The fourth proportional to 12,446.21, 18,669.47 and 3,681.30 is: 5,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.21 : 18,669.47 = 3,681.30 : x
  2. Step 2: Convert to fraction form
    12,446.21/18,669.47 = 3,681.30/x
  3. Step 3: Cross multiply
    12,446.21x = 18,669.47 × 3,681.30
  4. Step 4: Simplify right side
    12,446.21x = 68,727,901.50
  5. Step 5: Solve for x
    x = 68,727,901.50/12,446.21
  6. Step 6: Final answer
    x = 5,521.99

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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.