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Finding the Fourth Proportional to 20,171.82, 30,235.32 and 15,225.42

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Solution

The fourth proportional to 20,171.82, 30,235.32 and 15,225.42 is: 22,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.82 : 30,235.32 = 15,225.42 : x
  2. Step 2: Convert to fraction form
    20,171.82/30,235.32 = 15,225.42/x
  3. Step 3: Cross multiply
    20,171.82x = 30,235.32 × 15,225.42
  4. Step 4: Simplify right side
    20,171.82x = 460,345,445.83
  5. Step 5: Solve for x
    x = 460,345,445.83/20,171.82
  6. Step 6: Final answer
    x = 22,821.22

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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.