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Finding the Fourth Proportional to 27,570.49, 41,354.70 and 7,849.04

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Solution

The fourth proportional to 27,570.49, 41,354.70 and 7,849.04 is: 11,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.49 : 41,354.70 = 7,849.04 : x
  2. Step 2: Convert to fraction form
    27,570.49/41,354.70 = 7,849.04/x
  3. Step 3: Cross multiply
    27,570.49x = 41,354.70 × 7,849.04
  4. Step 4: Simplify right side
    27,570.49x = 324,594,690.90
  5. Step 5: Solve for x
    x = 324,594,690.90/27,570.49
  6. Step 6: Final answer
    x = 11,773.27

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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.