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Finding the Fourth Proportional to 14,454.88, 21,685.34 and 8,217.76

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Solution

The fourth proportional to 14,454.88, 21,685.34 and 8,217.76 is: 12,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.88 : 21,685.34 = 8,217.76 : x
  2. Step 2: Convert to fraction form
    14,454.88/21,685.34 = 8,217.76/x
  3. Step 3: Cross multiply
    14,454.88x = 21,685.34 × 8,217.76
  4. Step 4: Simplify right side
    14,454.88x = 178,204,919.64
  5. Step 5: Solve for x
    x = 178,204,919.64/14,454.88
  6. Step 6: Final answer
    x = 12,328.36

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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.