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Finding the Fourth Proportional to 20,308.80, 30,462.84 and 10,442.28

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Solution

The fourth proportional to 20,308.80, 30,462.84 and 10,442.28 is: 15,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.80 : 30,462.84 = 10,442.28 : x
  2. Step 2: Convert to fraction form
    20,308.80/30,462.84 = 10,442.28/x
  3. Step 3: Cross multiply
    20,308.80x = 30,462.84 × 10,442.28
  4. Step 4: Simplify right side
    20,308.80x = 318,101,504.88
  5. Step 5: Solve for x
    x = 318,101,504.88/20,308.80
  6. Step 6: Final answer
    x = 15,663.23

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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.