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Finding the Fourth Proportional to 12,446.15, 18,669.24 and 3,681.72

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Solution

The fourth proportional to 12,446.15, 18,669.24 and 3,681.72 is: 5,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.15 : 18,669.24 = 3,681.72 : x
  2. Step 2: Convert to fraction form
    12,446.15/18,669.24 = 3,681.72/x
  3. Step 3: Cross multiply
    12,446.15x = 18,669.24 × 3,681.72
  4. Step 4: Simplify right side
    12,446.15x = 68,734,914.29
  5. Step 5: Solve for x
    x = 68,734,914.29/12,446.15
  6. Step 6: Final answer
    x = 5,522.59

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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.