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Finding the Fourth Proportional to 18,638.36, 27,948.90 and 6,948.44

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Solution

The fourth proportional to 18,638.36, 27,948.90 and 6,948.44 is: 10,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,638.36 : 27,948.90 = 6,948.44 : x
  2. Step 2: Convert to fraction form
    18,638.36/27,948.90 = 6,948.44/x
  3. Step 3: Cross multiply
    18,638.36x = 27,948.90 × 6,948.44
  4. Step 4: Simplify right side
    18,638.36x = 194,201,254.72
  5. Step 5: Solve for x
    x = 194,201,254.72/18,638.36
  6. Step 6: Final answer
    x = 10,419.44

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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.