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Finding the Fourth Proportional to 20,924.72, 31,388.16 and 5,342.48

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Solution

The fourth proportional to 20,924.72, 31,388.16 and 5,342.48 is: 8,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924.72 : 31,388.16 = 5,342.48 : x
  2. Step 2: Convert to fraction form
    20,924.72/31,388.16 = 5,342.48/x
  3. Step 3: Cross multiply
    20,924.72x = 31,388.16 × 5,342.48
  4. Step 4: Simplify right side
    20,924.72x = 167,690,617.04
  5. Step 5: Solve for x
    x = 167,690,617.04/20,924.72
  6. Step 6: Final answer
    x = 8,014.00

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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.