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Finding the Fourth Proportional to 27,638.01, 41,462.28 and 10,109.07

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Solution

The fourth proportional to 27,638.01, 41,462.28 and 10,109.07 is: 15,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.01 : 41,462.28 = 10,109.07 : x
  2. Step 2: Convert to fraction form
    27,638.01/41,462.28 = 10,109.07/x
  3. Step 3: Cross multiply
    27,638.01x = 41,462.28 × 10,109.07
  4. Step 4: Simplify right side
    27,638.01x = 419,145,090.88
  5. Step 5: Solve for x
    x = 419,145,090.88/27,638.01
  6. Step 6: Final answer
    x = 15,165.53

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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.