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Finding the Fourth Proportional to 27,509.25, 37,962.81 and 14,934

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Solution

The fourth proportional to 27,509.25, 37,962.81 and 14,934 is: 20,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.25 : 37,962.81 = 14,934 : x
  2. Step 2: Convert to fraction form
    27,509.25/37,962.81 = 14,934/x
  3. Step 3: Cross multiply
    27,509.25x = 37,962.81 × 14,934
  4. Step 4: Simplify right side
    27,509.25x = 566,936,604.54
  5. Step 5: Solve for x
    x = 566,936,604.54/27,509.25
  6. Step 6: Final answer
    x = 20,608.94

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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.