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Finding the Fourth Proportional to 20,473.25, 30,652.84 and 10,456.30

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Solution

The fourth proportional to 20,473.25, 30,652.84 and 10,456.30 is: 15,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.25 : 30,652.84 = 10,456.30 : x
  2. Step 2: Convert to fraction form
    20,473.25/30,652.84 = 10,456.30/x
  3. Step 3: Cross multiply
    20,473.25x = 30,652.84 × 10,456.30
  4. Step 4: Simplify right side
    20,473.25x = 320,515,342.28
  5. Step 5: Solve for x
    x = 320,515,342.28/20,473.25
  6. Step 6: Final answer
    x = 15,655.33

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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.