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Finding the Fourth Proportional to 13,872.20, 20,808.30 and 4,638.20

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Solution

The fourth proportional to 13,872.20, 20,808.30 and 4,638.20 is: 6,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.20 : 20,808.30 = 4,638.20 : x
  2. Step 2: Convert to fraction form
    13,872.20/20,808.30 = 4,638.20/x
  3. Step 3: Cross multiply
    13,872.20x = 20,808.30 × 4,638.20
  4. Step 4: Simplify right side
    13,872.20x = 96,512,953.02
  5. Step 5: Solve for x
    x = 96,512,953.02/13,872.20
  6. Step 6: Final answer
    x = 6,957.30

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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.