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Finding the Fourth Proportional to 21,256.96, 31,872.96 and 8,110.24

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Solution

The fourth proportional to 21,256.96, 31,872.96 and 8,110.24 is: 12,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,256.96 : 31,872.96 = 8,110.24 : x
  2. Step 2: Convert to fraction form
    21,256.96/31,872.96 = 8,110.24/x
  3. Step 3: Cross multiply
    21,256.96x = 31,872.96 × 8,110.24
  4. Step 4: Simplify right side
    21,256.96x = 258,497,355.11
  5. Step 5: Solve for x
    x = 258,497,355.11/21,256.96
  6. Step 6: Final answer
    x = 12,160.60

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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.