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Finding the Fourth Proportional to 21,674.12, 32,510.88 and 8,517.32

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Solution

The fourth proportional to 21,674.12, 32,510.88 and 8,517.32 is: 12,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.12 : 32,510.88 = 8,517.32 : x
  2. Step 2: Convert to fraction form
    21,674.12/32,510.88 = 8,517.32/x
  3. Step 3: Cross multiply
    21,674.12x = 32,510.88 × 8,517.32
  4. Step 4: Simplify right side
    21,674.12x = 276,905,568.44
  5. Step 5: Solve for x
    x = 276,905,568.44/21,674.12
  6. Step 6: Final answer
    x = 12,775.86

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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.