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Finding the Fourth Proportional to 18,076.26, 27,113.60 and 4,928.64

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Solution

The fourth proportional to 18,076.26, 27,113.60 and 4,928.64 is: 7,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,076.26 : 27,113.60 = 4,928.64 : x
  2. Step 2: Convert to fraction form
    18,076.26/27,113.60 = 4,928.64/x
  3. Step 3: Cross multiply
    18,076.26x = 27,113.60 × 4,928.64
  4. Step 4: Simplify right side
    18,076.26x = 133,633,056.43
  5. Step 5: Solve for x
    x = 133,633,056.43/18,076.26
  6. Step 6: Final answer
    x = 7,392.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.