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Finding the Fourth Proportional to 18,426.24, 27,638.40 and 5,946.03

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Solution

The fourth proportional to 18,426.24, 27,638.40 and 5,946.03 is: 8,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,426.24 : 27,638.40 = 5,946.03 : x
  2. Step 2: Convert to fraction form
    18,426.24/27,638.40 = 5,946.03/x
  3. Step 3: Cross multiply
    18,426.24x = 27,638.40 × 5,946.03
  4. Step 4: Simplify right side
    18,426.24x = 164,338,755.55
  5. Step 5: Solve for x
    x = 164,338,755.55/18,426.24
  6. Step 6: Final answer
    x = 8,918.74

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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.