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Finding the Fourth Proportional to 27,398.40, 41,107.20 and 11,827.20

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Solution

The fourth proportional to 27,398.40, 41,107.20 and 11,827.20 is: 17,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.40 : 41,107.20 = 11,827.20 : x
  2. Step 2: Convert to fraction form
    27,398.40/41,107.20 = 11,827.20/x
  3. Step 3: Cross multiply
    27,398.40x = 41,107.20 × 11,827.20
  4. Step 4: Simplify right side
    27,398.40x = 486,183,075.84
  5. Step 5: Solve for x
    x = 486,183,075.84/27,398.40
  6. Step 6: Final answer
    x = 17,744.94

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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.