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Finding the Fourth Proportional to 21,345.70, 32,020.09 and 8,198.07

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Solution

The fourth proportional to 21,345.70, 32,020.09 and 8,198.07 is: 12,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,345.70 : 32,020.09 = 8,198.07 : x
  2. Step 2: Convert to fraction form
    21,345.70/32,020.09 = 8,198.07/x
  3. Step 3: Cross multiply
    21,345.70x = 32,020.09 × 8,198.07
  4. Step 4: Simplify right side
    21,345.70x = 262,503,031.84
  5. Step 5: Solve for x
    x = 262,503,031.84/21,345.70
  6. Step 6: Final answer
    x = 12,297.70

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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.