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Finding the Fourth Proportional to 20,824.36, 31,216.86 and 7,673.32

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Solution

The fourth proportional to 20,824.36, 31,216.86 and 7,673.32 is: 11,502.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824.36 : 31,216.86 = 7,673.32 : x
  2. Step 2: Convert to fraction form
    20,824.36/31,216.86 = 7,673.32/x
  3. Step 3: Cross multiply
    20,824.36x = 31,216.86 × 7,673.32
  4. Step 4: Simplify right side
    20,824.36x = 239,536,956.18
  5. Step 5: Solve for x
    x = 239,536,956.18/20,824.36
  6. Step 6: Final answer
    x = 11,502.73

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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.