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Finding the Fourth Proportional to 27,674.56, 38,192.04 and 15,740

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Solution

The fourth proportional to 27,674.56, 38,192.04 and 15,740 is: 21,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.56 : 38,192.04 = 15,740 : x
  2. Step 2: Convert to fraction form
    27,674.56/38,192.04 = 15,740/x
  3. Step 3: Cross multiply
    27,674.56x = 38,192.04 × 15,740
  4. Step 4: Simplify right side
    27,674.56x = 601,142,709.60
  5. Step 5: Solve for x
    x = 601,142,709.60/27,674.56
  6. Step 6: Final answer
    x = 21,721.85

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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.