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Finding the Fourth Proportional to 12,540.24, 18,812.04 and 3,774

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Solution

The fourth proportional to 12,540.24, 18,812.04 and 3,774 is: 5,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,540.24 : 18,812.04 = 3,774 : x
  2. Step 2: Convert to fraction form
    12,540.24/18,812.04 = 3,774/x
  3. Step 3: Cross multiply
    12,540.24x = 18,812.04 × 3,774
  4. Step 4: Simplify right side
    12,540.24x = 70,996,638.96
  5. Step 5: Solve for x
    x = 70,996,638.96/12,540.24
  6. Step 6: Final answer
    x = 5,661.51

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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.