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Finding the Fourth Proportional to 27,361.25, 37,758.53 and 14,786

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Solution

The fourth proportional to 27,361.25, 37,758.53 and 14,786 is: 20,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,361.25 : 37,758.53 = 14,786 : x
  2. Step 2: Convert to fraction form
    27,361.25/37,758.53 = 14,786/x
  3. Step 3: Cross multiply
    27,361.25x = 37,758.53 × 14,786
  4. Step 4: Simplify right side
    27,361.25x = 558,297,550.65
  5. Step 5: Solve for x
    x = 558,297,550.65/27,361.25
  6. Step 6: Final answer
    x = 20,404.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.