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Finding the Fourth Proportional to 27,855.70, 38,427.82 and 18,311.47

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Solution

The fourth proportional to 27,855.70, 38,427.82 and 18,311.47 is: 25,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.70 : 38,427.82 = 18,311.47 : x
  2. Step 2: Convert to fraction form
    27,855.70/38,427.82 = 18,311.47/x
  3. Step 3: Cross multiply
    27,855.70x = 38,427.82 × 18,311.47
  4. Step 4: Simplify right side
    27,855.70x = 703,669,873.10
  5. Step 5: Solve for x
    x = 703,669,873.10/27,855.70
  6. Step 6: Final answer
    x = 25,261.25

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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.