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Finding the Fourth Proportional to 27,751.40, 41,633.25 and 12,952.25

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Solution

The fourth proportional to 27,751.40, 41,633.25 and 12,952.25 is: 19,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,751.40 : 41,633.25 = 12,952.25 : x
  2. Step 2: Convert to fraction form
    27,751.40/41,633.25 = 12,952.25/x
  3. Step 3: Cross multiply
    27,751.40x = 41,633.25 × 12,952.25
  4. Step 4: Simplify right side
    27,751.40x = 539,244,054.15
  5. Step 5: Solve for x
    x = 539,244,054.15/27,751.40
  6. Step 6: Final answer
    x = 19,431.24

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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.