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Finding the Fourth Proportional to 27,443.56, 41,164.38 and 11,638.42

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Solution

The fourth proportional to 27,443.56, 41,164.38 and 11,638.42 is: 17,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,443.56 : 41,164.38 = 11,638.42 : x
  2. Step 2: Convert to fraction form
    27,443.56/41,164.38 = 11,638.42/x
  3. Step 3: Cross multiply
    27,443.56x = 41,164.38 × 11,638.42
  4. Step 4: Simplify right side
    27,443.56x = 479,088,343.48
  5. Step 5: Solve for x
    x = 479,088,343.48/27,443.56
  6. Step 6: Final answer
    x = 17,457.22

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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.