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Finding the Fourth Proportional to 21,638.96, 32,392.68 and 13,853.24

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Solution

The fourth proportional to 21,638.96, 32,392.68 and 13,853.24 is: 20,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.96 : 32,392.68 = 13,853.24 : x
  2. Step 2: Convert to fraction form
    21,638.96/32,392.68 = 13,853.24/x
  3. Step 3: Cross multiply
    21,638.96x = 32,392.68 × 13,853.24
  4. Step 4: Simplify right side
    21,638.96x = 448,743,570.28
  5. Step 5: Solve for x
    x = 448,743,570.28/21,638.96
  6. Step 6: Final answer
    x = 20,737.76

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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.