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Finding the Fourth Proportional to 27,884.56, 38,463.80 and 16,546.60

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Solution

The fourth proportional to 27,884.56, 38,463.80 and 16,546.60 is: 22,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.56 : 38,463.80 = 16,546.60 : x
  2. Step 2: Convert to fraction form
    27,884.56/38,463.80 = 16,546.60/x
  3. Step 3: Cross multiply
    27,884.56x = 38,463.80 × 16,546.60
  4. Step 4: Simplify right side
    27,884.56x = 636,445,113.08
  5. Step 5: Solve for x
    x = 636,445,113.08/27,884.56
  6. Step 6: Final answer
    x = 22,824.28

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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.