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Finding the Fourth Proportional to 21,780.90, 32,665.68 and 6,982.20

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Solution

The fourth proportional to 21,780.90, 32,665.68 and 6,982.20 is: 10,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.90 : 32,665.68 = 6,982.20 : x
  2. Step 2: Convert to fraction form
    21,780.90/32,665.68 = 6,982.20/x
  3. Step 3: Cross multiply
    21,780.90x = 32,665.68 × 6,982.20
  4. Step 4: Simplify right side
    21,780.90x = 228,078,310.90
  5. Step 5: Solve for x
    x = 228,078,310.90/21,780.90
  6. Step 6: Final answer
    x = 10,471.48

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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.