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Finding the Fourth Proportional to 27,636.76, 41,422.68 and 12,814.48

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Solution

The fourth proportional to 27,636.76, 41,422.68 and 12,814.48 is: 19,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636.76 : 41,422.68 = 12,814.48 : x
  2. Step 2: Convert to fraction form
    27,636.76/41,422.68 = 12,814.48/x
  3. Step 3: Cross multiply
    27,636.76x = 41,422.68 × 12,814.48
  4. Step 4: Simplify right side
    27,636.76x = 530,810,104.41
  5. Step 5: Solve for x
    x = 530,810,104.41/27,636.76
  6. Step 6: Final answer
    x = 19,206.67

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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.