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Finding the Fourth Proportional to 21,106.44, 31,647.96 and 8,635.21

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Solution

The fourth proportional to 21,106.44, 31,647.96 and 8,635.21 is: 12,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.44 : 31,647.96 = 8,635.21 : x
  2. Step 2: Convert to fraction form
    21,106.44/31,647.96 = 8,635.21/x
  3. Step 3: Cross multiply
    21,106.44x = 31,647.96 × 8,635.21
  4. Step 4: Simplify right side
    21,106.44x = 273,286,780.67
  5. Step 5: Solve for x
    x = 273,286,780.67/21,106.44
  6. Step 6: Final answer
    x = 12,948.03

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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.