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Finding the Fourth Proportional to 27,494.64, 41,250.96 and 8,777.76

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Solution

The fourth proportional to 27,494.64, 41,250.96 and 8,777.76 is: 13,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.64 : 41,250.96 = 8,777.76 : x
  2. Step 2: Convert to fraction form
    27,494.64/41,250.96 = 8,777.76/x
  3. Step 3: Cross multiply
    27,494.64x = 41,250.96 × 8,777.76
  4. Step 4: Simplify right side
    27,494.64x = 362,091,026.65
  5. Step 5: Solve for x
    x = 362,091,026.65/27,494.64
  6. Step 6: Final answer
    x = 13,169.51

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