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Finding the Fourth Proportional to 20,530.80, 30,796.20 and 15,346.80

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Solution

The fourth proportional to 20,530.80, 30,796.20 and 15,346.80 is: 23,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.80 : 30,796.20 = 15,346.80 : x
  2. Step 2: Convert to fraction form
    20,530.80/30,796.20 = 15,346.80/x
  3. Step 3: Cross multiply
    20,530.80x = 30,796.20 × 15,346.80
  4. Step 4: Simplify right side
    20,530.80x = 472,623,122.16
  5. Step 5: Solve for x
    x = 472,623,122.16/20,530.80
  6. Step 6: Final answer
    x = 23,020.20

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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.