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Finding the Fourth Proportional to 21,531.92, 32,304.36 and 7,682

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Solution

The fourth proportional to 21,531.92, 32,304.36 and 7,682 is: 11,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.92 : 32,304.36 = 7,682 : x
  2. Step 2: Convert to fraction form
    21,531.92/32,304.36 = 7,682/x
  3. Step 3: Cross multiply
    21,531.92x = 32,304.36 × 7,682
  4. Step 4: Simplify right side
    21,531.92x = 248,162,093.52
  5. Step 5: Solve for x
    x = 248,162,093.52/21,531.92
  6. Step 6: Final answer
    x = 11,525.31

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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.