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Finding the Fourth Proportional to 21,732.56, 32,578 and 6,933.32

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Solution

The fourth proportional to 21,732.56, 32,578 and 6,933.32 is: 10,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.56 : 32,578 = 6,933.32 : x
  2. Step 2: Convert to fraction form
    21,732.56/32,578 = 6,933.32/x
  3. Step 3: Cross multiply
    21,732.56x = 32,578 × 6,933.32
  4. Step 4: Simplify right side
    21,732.56x = 225,873,698.96
  5. Step 5: Solve for x
    x = 225,873,698.96/21,732.56
  6. Step 6: Final answer
    x = 10,393.33

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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.