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Finding the Fourth Proportional to 27,824.70, 41,708.70 and 13,763.10

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Solution

The fourth proportional to 27,824.70, 41,708.70 and 13,763.10 is: 20,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.70 : 41,708.70 = 13,763.10 : x
  2. Step 2: Convert to fraction form
    27,824.70/41,708.70 = 13,763.10/x
  3. Step 3: Cross multiply
    27,824.70x = 41,708.70 × 13,763.10
  4. Step 4: Simplify right side
    27,824.70x = 574,041,008.97
  5. Step 5: Solve for x
    x = 574,041,008.97/27,824.70
  6. Step 6: Final answer
    x = 20,630.63

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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.