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Finding the Fourth Proportional to 21,780.57, 32,670.87 and 6,198.20

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Solution

The fourth proportional to 21,780.57, 32,670.87 and 6,198.20 is: 9,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.57 : 32,670.87 = 6,198.20 : x
  2. Step 2: Convert to fraction form
    21,780.57/32,670.87 = 6,198.20/x
  3. Step 3: Cross multiply
    21,780.57x = 32,670.87 × 6,198.20
  4. Step 4: Simplify right side
    21,780.57x = 202,500,423.08
  5. Step 5: Solve for x
    x = 202,500,423.08/21,780.57
  6. Step 6: Final answer
    x = 9,297.30

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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.