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Finding the Fourth Proportional to 26,884.14, 40,326.27 and 8,164.32

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Solution

The fourth proportional to 26,884.14, 40,326.27 and 8,164.32 is: 12,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884.14 : 40,326.27 = 8,164.32 : x
  2. Step 2: Convert to fraction form
    26,884.14/40,326.27 = 8,164.32/x
  3. Step 3: Cross multiply
    26,884.14x = 40,326.27 × 8,164.32
  4. Step 4: Simplify right side
    26,884.14x = 329,236,572.69
  5. Step 5: Solve for x
    x = 329,236,572.69/26,884.14
  6. Step 6: Final answer
    x = 12,246.50

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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.