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Finding the Fourth Proportional to 21,532.50, 29,714.31 and 11,972.41

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Solution

The fourth proportional to 21,532.50, 29,714.31 and 11,972.41 is: 16,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.50 : 29,714.31 = 11,972.41 : x
  2. Step 2: Convert to fraction form
    21,532.50/29,714.31 = 11,972.41/x
  3. Step 3: Cross multiply
    21,532.50x = 29,714.31 × 11,972.41
  4. Step 4: Simplify right side
    21,532.50x = 355,751,827.90
  5. Step 5: Solve for x
    x = 355,751,827.90/21,532.50
  6. Step 6: Final answer
    x = 16,521.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.