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Finding the Fourth Proportional to 17,884.32, 26,838.80 and 8,034.64

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Solution

The fourth proportional to 17,884.32, 26,838.80 and 8,034.64 is: 12,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.32 : 26,838.80 = 8,034.64 : x
  2. Step 2: Convert to fraction form
    17,884.32/26,838.80 = 8,034.64/x
  3. Step 3: Cross multiply
    17,884.32x = 26,838.80 × 8,034.64
  4. Step 4: Simplify right side
    17,884.32x = 215,640,096.03
  5. Step 5: Solve for x
    x = 215,640,096.03/17,884.32
  6. Step 6: Final answer
    x = 12,057.49

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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.