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Finding the Fourth Proportional to 13,668.30, 20,512.05 and 5,882.70

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Solution

The fourth proportional to 13,668.30, 20,512.05 and 5,882.70 is: 8,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.30 : 20,512.05 = 5,882.70 : x
  2. Step 2: Convert to fraction form
    13,668.30/20,512.05 = 5,882.70/x
  3. Step 3: Cross multiply
    13,668.30x = 20,512.05 × 5,882.70
  4. Step 4: Simplify right side
    13,668.30x = 120,666,236.54
  5. Step 5: Solve for x
    x = 120,666,236.54/13,668.30
  6. Step 6: Final answer
    x = 8,828.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.