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Finding the Fourth Proportional to 21,990.90, 32,986.35 and 13,680.30

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Solution

The fourth proportional to 21,990.90, 32,986.35 and 13,680.30 is: 20,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,990.90 : 32,986.35 = 13,680.30 : x
  2. Step 2: Convert to fraction form
    21,990.90/32,986.35 = 13,680.30/x
  3. Step 3: Cross multiply
    21,990.90x = 32,986.35 × 13,680.30
  4. Step 4: Simplify right side
    21,990.90x = 451,263,163.91
  5. Step 5: Solve for x
    x = 451,263,163.91/21,990.90
  6. Step 6: Final answer
    x = 20,520.45

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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.