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Finding the Fourth Proportional to 27,858.82, 38,421.78 and 18,291.38

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Solution

The fourth proportional to 27,858.82, 38,421.78 and 18,291.38 is: 25,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.82 : 38,421.78 = 18,291.38 : x
  2. Step 2: Convert to fraction form
    27,858.82/38,421.78 = 18,291.38/x
  3. Step 3: Cross multiply
    27,858.82x = 38,421.78 × 18,291.38
  4. Step 4: Simplify right side
    27,858.82x = 702,787,186.15
  5. Step 5: Solve for x
    x = 702,787,186.15/27,858.82
  6. Step 6: Final answer
    x = 25,226.74

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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.