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Finding the Fourth Proportional to 20,534.80, 30,809.40 and 19,814.80

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Solution

The fourth proportional to 20,534.80, 30,809.40 and 19,814.80 is: 29,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.80 : 30,809.40 = 19,814.80 : x
  2. Step 2: Convert to fraction form
    20,534.80/30,809.40 = 19,814.80/x
  3. Step 3: Cross multiply
    20,534.80x = 30,809.40 × 19,814.80
  4. Step 4: Simplify right side
    20,534.80x = 610,482,099.12
  5. Step 5: Solve for x
    x = 610,482,099.12/20,534.80
  6. Step 6: Final answer
    x = 29,729.15

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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.