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Finding the Fourth Proportional to 20,598.37, 30,922.80 and 13,584.24

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Solution

The fourth proportional to 20,598.37, 30,922.80 and 13,584.24 is: 20,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598.37 : 30,922.80 = 13,584.24 : x
  2. Step 2: Convert to fraction form
    20,598.37/30,922.80 = 13,584.24/x
  3. Step 3: Cross multiply
    20,598.37x = 30,922.80 × 13,584.24
  4. Step 4: Simplify right side
    20,598.37x = 420,062,668.75
  5. Step 5: Solve for x
    x = 420,062,668.75/20,598.37
  6. Step 6: Final answer
    x = 20,393.01

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