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Finding the Fourth Proportional to 19,638.65, 27,101.30 and 11,142.44

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Solution

The fourth proportional to 19,638.65, 27,101.30 and 11,142.44 is: 15,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.65 : 27,101.30 = 11,142.44 : x
  2. Step 2: Convert to fraction form
    19,638.65/27,101.30 = 11,142.44/x
  3. Step 3: Cross multiply
    19,638.65x = 27,101.30 × 11,142.44
  4. Step 4: Simplify right side
    19,638.65x = 301,974,459.03
  5. Step 5: Solve for x
    x = 301,974,459.03/19,638.65
  6. Step 6: Final answer
    x = 15,376.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.