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Finding the Fourth Proportional to 20,209.70, 27,886.88 and 11,256.57

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Solution

The fourth proportional to 20,209.70, 27,886.88 and 11,256.57 is: 15,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.70 : 27,886.88 = 11,256.57 : x
  2. Step 2: Convert to fraction form
    20,209.70/27,886.88 = 11,256.57/x
  3. Step 3: Cross multiply
    20,209.70x = 27,886.88 × 11,256.57
  4. Step 4: Simplify right side
    20,209.70x = 313,910,644.94
  5. Step 5: Solve for x
    x = 313,910,644.94/20,209.70
  6. Step 6: Final answer
    x = 15,532.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.