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Finding the Fourth Proportional to 21,638.43, 32,438.40 and 8,499.96

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Solution

The fourth proportional to 21,638.43, 32,438.40 and 8,499.96 is: 12,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.43 : 32,438.40 = 8,499.96 : x
  2. Step 2: Convert to fraction form
    21,638.43/32,438.40 = 8,499.96/x
  3. Step 3: Cross multiply
    21,638.43x = 32,438.40 × 8,499.96
  4. Step 4: Simplify right side
    21,638.43x = 275,725,102.46
  5. Step 5: Solve for x
    x = 275,725,102.46/21,638.43
  6. Step 6: Final answer
    x = 12,742.38

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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.