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Finding the Fourth Proportional to 20,297.16, 30,445.74 and 6,447.24

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Solution

The fourth proportional to 20,297.16, 30,445.74 and 6,447.24 is: 9,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.16 : 30,445.74 = 6,447.24 : x
  2. Step 2: Convert to fraction form
    20,297.16/30,445.74 = 6,447.24/x
  3. Step 3: Cross multiply
    20,297.16x = 30,445.74 × 6,447.24
  4. Step 4: Simplify right side
    20,297.16x = 196,290,992.76
  5. Step 5: Solve for x
    x = 196,290,992.76/20,297.16
  6. Step 6: Final answer
    x = 9,670.86

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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.