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Finding the Fourth Proportional to 20,546.44, 30,821.58 and 9,456.22

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Solution

The fourth proportional to 20,546.44, 30,821.58 and 9,456.22 is: 14,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.44 : 30,821.58 = 9,456.22 : x
  2. Step 2: Convert to fraction form
    20,546.44/30,821.58 = 9,456.22/x
  3. Step 3: Cross multiply
    20,546.44x = 30,821.58 × 9,456.22
  4. Step 4: Simplify right side
    20,546.44x = 291,455,641.23
  5. Step 5: Solve for x
    x = 291,455,641.23/20,546.44
  6. Step 6: Final answer
    x = 14,185.21

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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.