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Finding the Fourth Proportional to 20,507.80, 30,761.70 and 16,814.20

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Solution

The fourth proportional to 20,507.80, 30,761.70 and 16,814.20 is: 25,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.80 : 30,761.70 = 16,814.20 : x
  2. Step 2: Convert to fraction form
    20,507.80/30,761.70 = 16,814.20/x
  3. Step 3: Cross multiply
    20,507.80x = 30,761.70 × 16,814.20
  4. Step 4: Simplify right side
    20,507.80x = 517,233,376.14
  5. Step 5: Solve for x
    x = 517,233,376.14/20,507.80
  6. Step 6: Final answer
    x = 25,221.30

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1.5x scale

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.