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Finding the Fourth Proportional to 21,096.43, 31,648.28 and 8,623.24

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Solution

The fourth proportional to 21,096.43, 31,648.28 and 8,623.24 is: 12,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.43 : 31,648.28 = 8,623.24 : x
  2. Step 2: Convert to fraction form
    21,096.43/31,648.28 = 8,623.24/x
  3. Step 3: Cross multiply
    21,096.43x = 31,648.28 × 8,623.24
  4. Step 4: Simplify right side
    21,096.43x = 272,910,714.03
  5. Step 5: Solve for x
    x = 272,910,714.03/21,096.43
  6. Step 6: Final answer
    x = 12,936.35

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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.