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Finding the Fourth Proportional to 12,146.61, 18,220.56 and 3,827.27

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Solution

The fourth proportional to 12,146.61, 18,220.56 and 3,827.27 is: 5,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.61 : 18,220.56 = 3,827.27 : x
  2. Step 2: Convert to fraction form
    12,146.61/18,220.56 = 3,827.27/x
  3. Step 3: Cross multiply
    12,146.61x = 18,220.56 × 3,827.27
  4. Step 4: Simplify right side
    12,146.61x = 69,735,048.22
  5. Step 5: Solve for x
    x = 69,735,048.22/12,146.61
  6. Step 6: Final answer
    x = 5,741.11

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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.