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Finding the Fourth Proportional to 21,708.41, 32,571.72 and 8,564.54

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Solution

The fourth proportional to 21,708.41, 32,571.72 and 8,564.54 is: 12,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.41 : 32,571.72 = 8,564.54 : x
  2. Step 2: Convert to fraction form
    21,708.41/32,571.72 = 8,564.54/x
  3. Step 3: Cross multiply
    21,708.41x = 32,571.72 × 8,564.54
  4. Step 4: Simplify right side
    21,708.41x = 278,961,635.95
  5. Step 5: Solve for x
    x = 278,961,635.95/21,708.41
  6. Step 6: Final answer
    x = 12,850.40

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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.