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Finding the Fourth Proportional to 21,682.20, 32,523.30 and 9,200.10

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Solution

The fourth proportional to 21,682.20, 32,523.30 and 9,200.10 is: 13,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.20 : 32,523.30 = 9,200.10 : x
  2. Step 2: Convert to fraction form
    21,682.20/32,523.30 = 9,200.10/x
  3. Step 3: Cross multiply
    21,682.20x = 32,523.30 × 9,200.10
  4. Step 4: Simplify right side
    21,682.20x = 299,217,612.33
  5. Step 5: Solve for x
    x = 299,217,612.33/21,682.20
  6. Step 6: Final answer
    x = 13,800.15

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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.