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Finding the Fourth Proportional to 27,687.90, 41,544 and 14,537.18

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Solution

The fourth proportional to 27,687.90, 41,544 and 14,537.18 is: 21,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687.90 : 41,544 = 14,537.18 : x
  2. Step 2: Convert to fraction form
    27,687.90/41,544 = 14,537.18/x
  3. Step 3: Cross multiply
    27,687.90x = 41,544 × 14,537.18
  4. Step 4: Simplify right side
    27,687.90x = 603,932,605.92
  5. Step 5: Solve for x
    x = 603,932,605.92/27,687.90
  6. Step 6: Final answer
    x = 21,812.15

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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.