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Finding the Fourth Proportional to 20,377.47, 30,566.31 and 7,230.24

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Solution

The fourth proportional to 20,377.47, 30,566.31 and 7,230.24 is: 10,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,377.47 : 30,566.31 = 7,230.24 : x
  2. Step 2: Convert to fraction form
    20,377.47/30,566.31 = 7,230.24/x
  3. Step 3: Cross multiply
    20,377.47x = 30,566.31 × 7,230.24
  4. Step 4: Simplify right side
    20,377.47x = 221,001,757.21
  5. Step 5: Solve for x
    x = 221,001,757.21/20,377.47
  6. Step 6: Final answer
    x = 10,845.40

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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.