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Finding the Fourth Proportional to 27,226.63, 40,845.11 and 9,456.60

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Solution

The fourth proportional to 27,226.63, 40,845.11 and 9,456.60 is: 14,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,226.63 : 40,845.11 = 9,456.60 : x
  2. Step 2: Convert to fraction form
    27,226.63/40,845.11 = 9,456.60/x
  3. Step 3: Cross multiply
    27,226.63x = 40,845.11 × 9,456.60
  4. Step 4: Simplify right side
    27,226.63x = 386,255,796.55
  5. Step 5: Solve for x
    x = 386,255,796.55/27,226.63
  6. Step 6: Final answer
    x = 14,186.69

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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.