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Finding the Fourth Proportional to 20,972.66, 31,464.43 and 7,825.13

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Solution

The fourth proportional to 20,972.66, 31,464.43 and 7,825.13 is: 11,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.66 : 31,464.43 = 7,825.13 : x
  2. Step 2: Convert to fraction form
    20,972.66/31,464.43 = 7,825.13/x
  3. Step 3: Cross multiply
    20,972.66x = 31,464.43 × 7,825.13
  4. Step 4: Simplify right side
    20,972.66x = 246,213,078.24
  5. Step 5: Solve for x
    x = 246,213,078.24/20,972.66
  6. Step 6: Final answer
    x = 11,739.72

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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.