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Finding the Fourth Proportional to 27,872.60, 38,462.46 and 15,297.26

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Solution

The fourth proportional to 27,872.60, 38,462.46 and 15,297.26 is: 21,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.60 : 38,462.46 = 15,297.26 : x
  2. Step 2: Convert to fraction form
    27,872.60/38,462.46 = 15,297.26/x
  3. Step 3: Cross multiply
    27,872.60x = 38,462.46 × 15,297.26
  4. Step 4: Simplify right side
    27,872.60x = 588,370,250.86
  5. Step 5: Solve for x
    x = 588,370,250.86/27,872.60
  6. Step 6: Final answer
    x = 21,109.27

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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.