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Finding the Fourth Proportional to 27,196.92, 40,796.91 and 7,475.04

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Solution

The fourth proportional to 27,196.92, 40,796.91 and 7,475.04 is: 11,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.92 : 40,796.91 = 7,475.04 : x
  2. Step 2: Convert to fraction form
    27,196.92/40,796.91 = 7,475.04/x
  3. Step 3: Cross multiply
    27,196.92x = 40,796.91 × 7,475.04
  4. Step 4: Simplify right side
    27,196.92x = 304,958,534.13
  5. Step 5: Solve for x
    x = 304,958,534.13/27,196.92
  6. Step 6: Final answer
    x = 11,212.98

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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.