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Finding the Fourth Proportional to 27,654.50, 38,178.96 and 18,250.40

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Solution

The fourth proportional to 27,654.50, 38,178.96 and 18,250.40 is: 25,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.50 : 38,178.96 = 18,250.40 : x
  2. Step 2: Convert to fraction form
    27,654.50/38,178.96 = 18,250.40/x
  3. Step 3: Cross multiply
    27,654.50x = 38,178.96 × 18,250.40
  4. Step 4: Simplify right side
    27,654.50x = 696,781,291.58
  5. Step 5: Solve for x
    x = 696,781,291.58/27,654.50
  6. Step 6: Final answer
    x = 25,195.95

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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.