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Finding the Fourth Proportional to 20,076.59, 30,133.56 and 10,223.24

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Solution

The fourth proportional to 20,076.59, 30,133.56 and 10,223.24 is: 15,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076.59 : 30,133.56 = 10,223.24 : x
  2. Step 2: Convert to fraction form
    20,076.59/30,133.56 = 10,223.24/x
  3. Step 3: Cross multiply
    20,076.59x = 30,133.56 × 10,223.24
  4. Step 4: Simplify right side
    20,076.59x = 308,062,615.93
  5. Step 5: Solve for x
    x = 308,062,615.93/20,076.59
  6. Step 6: Final answer
    x = 15,344.37

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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.