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Finding the Fourth Proportional to 27,905.14, 38,486.80 and 18,354.82

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Solution

The fourth proportional to 27,905.14, 38,486.80 and 18,354.82 is: 25,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,905.14 : 38,486.80 = 18,354.82 : x
  2. Step 2: Convert to fraction form
    27,905.14/38,486.80 = 18,354.82/x
  3. Step 3: Cross multiply
    27,905.14x = 38,486.80 × 18,354.82
  4. Step 4: Simplify right side
    27,905.14x = 706,418,286.38
  5. Step 5: Solve for x
    x = 706,418,286.38/27,905.14
  6. Step 6: Final answer
    x = 25,314.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.