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Finding the Fourth Proportional to 27,558, 38,034.20 and 16,809.12

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Solution

The fourth proportional to 27,558, 38,034.20 and 16,809.12 is: 23,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,558 : 38,034.20 = 16,809.12 : x
  2. Step 2: Convert to fraction form
    27,558/38,034.20 = 16,809.12/x
  3. Step 3: Cross multiply
    27,558x = 38,034.20 × 16,809.12
  4. Step 4: Simplify right side
    27,558x = 639,321,431.90
  5. Step 5: Solve for x
    x = 639,321,431.90/27,558
  6. Step 6: Final answer
    x = 23,199.12

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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.