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Finding the Fourth Proportional to 27,638.16, 41,449.64 and 7,642.90

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Solution

The fourth proportional to 27,638.16, 41,449.64 and 7,642.90 is: 11,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.16 : 41,449.64 = 7,642.90 : x
  2. Step 2: Convert to fraction form
    27,638.16/41,449.64 = 7,642.90/x
  3. Step 3: Cross multiply
    27,638.16x = 41,449.64 × 7,642.90
  4. Step 4: Simplify right side
    27,638.16x = 316,795,453.56
  5. Step 5: Solve for x
    x = 316,795,453.56/27,638.16
  6. Step 6: Final answer
    x = 11,462.25

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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.