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Finding the Fourth Proportional to 14,454.54, 21,684.75 and 8,217.54

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Solution

The fourth proportional to 14,454.54, 21,684.75 and 8,217.54 is: 12,327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.54 : 21,684.75 = 8,217.54 : x
  2. Step 2: Convert to fraction form
    14,454.54/21,684.75 = 8,217.54/x
  3. Step 3: Cross multiply
    14,454.54x = 21,684.75 × 8,217.54
  4. Step 4: Simplify right side
    14,454.54x = 178,195,300.52
  5. Step 5: Solve for x
    x = 178,195,300.52/14,454.54
  6. Step 6: Final answer
    x = 12,327.98

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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.