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Finding the Fourth Proportional to 27,405.96, 37,820.34 and 15,469.44

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Solution

The fourth proportional to 27,405.96, 37,820.34 and 15,469.44 is: 21,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.96 : 37,820.34 = 15,469.44 : x
  2. Step 2: Convert to fraction form
    27,405.96/37,820.34 = 15,469.44/x
  3. Step 3: Cross multiply
    27,405.96x = 37,820.34 × 15,469.44
  4. Step 4: Simplify right side
    27,405.96x = 585,059,480.41
  5. Step 5: Solve for x
    x = 585,059,480.41/27,405.96
  6. Step 6: Final answer
    x = 21,347.89

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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.