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Finding the Fourth Proportional to 27,039.08, 40,576.70 and 9,508.84

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Solution

The fourth proportional to 27,039.08, 40,576.70 and 9,508.84 is: 14,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,039.08 : 40,576.70 = 9,508.84 : x
  2. Step 2: Convert to fraction form
    27,039.08/40,576.70 = 9,508.84/x
  3. Step 3: Cross multiply
    27,039.08x = 40,576.70 × 9,508.84
  4. Step 4: Simplify right side
    27,039.08x = 385,837,348.03
  5. Step 5: Solve for x
    x = 385,837,348.03/27,039.08
  6. Step 6: Final answer
    x = 14,269.62

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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.