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Finding the Fourth Proportional to 27,034.28, 40,538.04 and 8,309.84

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Solution

The fourth proportional to 27,034.28, 40,538.04 and 8,309.84 is: 12,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,034.28 : 40,538.04 = 8,309.84 : x
  2. Step 2: Convert to fraction form
    27,034.28/40,538.04 = 8,309.84/x
  3. Step 3: Cross multiply
    27,034.28x = 40,538.04 × 8,309.84
  4. Step 4: Simplify right side
    27,034.28x = 336,864,626.31
  5. Step 5: Solve for x
    x = 336,864,626.31/27,034.28
  6. Step 6: Final answer
    x = 12,460.65

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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.