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Finding the Fourth Proportional to 27,344.25, 37,735.09 and 14,769

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Solution

The fourth proportional to 27,344.25, 37,735.09 and 14,769 is: 20,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,344.25 : 37,735.09 = 14,769 : x
  2. Step 2: Convert to fraction form
    27,344.25/37,735.09 = 14,769/x
  3. Step 3: Cross multiply
    27,344.25x = 37,735.09 × 14,769
  4. Step 4: Simplify right side
    27,344.25x = 557,309,548.83
  5. Step 5: Solve for x
    x = 557,309,548.83/27,344.25
  6. Step 6: Final answer
    x = 20,381.23

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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.