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Finding the Fourth Proportional to 27,182.60, 40,777.96 and 9,650.96

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Solution

The fourth proportional to 27,182.60, 40,777.96 and 9,650.96 is: 14,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.60 : 40,777.96 = 9,650.96 : x
  2. Step 2: Convert to fraction form
    27,182.60/40,777.96 = 9,650.96/x
  3. Step 3: Cross multiply
    27,182.60x = 40,777.96 × 9,650.96
  4. Step 4: Simplify right side
    27,182.60x = 393,546,460.84
  5. Step 5: Solve for x
    x = 393,546,460.84/27,182.60
  6. Step 6: Final answer
    x = 14,477.88

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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.