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Finding the Fourth Proportional to 27,507.71, 41,256.68 and 12,511.31

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Solution

The fourth proportional to 27,507.71, 41,256.68 and 12,511.31 is: 18,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507.71 : 41,256.68 = 12,511.31 : x
  2. Step 2: Convert to fraction form
    27,507.71/41,256.68 = 12,511.31/x
  3. Step 3: Cross multiply
    27,507.71x = 41,256.68 × 12,511.31
  4. Step 4: Simplify right side
    27,507.71x = 516,175,113.05
  5. Step 5: Solve for x
    x = 516,175,113.05/27,507.71
  6. Step 6: Final answer
    x = 18,764.74

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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.