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Finding the Fourth Proportional to 20,164.50, 30,274.56 and 13,909.68

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Solution

The fourth proportional to 20,164.50, 30,274.56 and 13,909.68 is: 20,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.50 : 30,274.56 = 13,909.68 : x
  2. Step 2: Convert to fraction form
    20,164.50/30,274.56 = 13,909.68/x
  3. Step 3: Cross multiply
    20,164.50x = 30,274.56 × 13,909.68
  4. Step 4: Simplify right side
    20,164.50x = 421,109,441.74
  5. Step 5: Solve for x
    x = 421,109,441.74/20,164.50
  6. Step 6: Final answer
    x = 20,883.70

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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.