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Finding the Fourth Proportional to 20,564.62, 30,671.48 and 20,209.23

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Solution

The fourth proportional to 20,564.62, 30,671.48 and 20,209.23 is: 30,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.62 : 30,671.48 = 20,209.23 : x
  2. Step 2: Convert to fraction form
    20,564.62/30,671.48 = 20,209.23/x
  3. Step 3: Cross multiply
    20,564.62x = 30,671.48 × 20,209.23
  4. Step 4: Simplify right side
    20,564.62x = 619,847,044.28
  5. Step 5: Solve for x
    x = 619,847,044.28/20,564.62
  6. Step 6: Final answer
    x = 30,141.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.