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Finding the Fourth Proportional to 16,322.67, 24,478.20 and 8,416.80

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Solution

The fourth proportional to 16,322.67, 24,478.20 and 8,416.80 is: 12,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322.67 : 24,478.20 = 8,416.80 : x
  2. Step 2: Convert to fraction form
    16,322.67/24,478.20 = 8,416.80/x
  3. Step 3: Cross multiply
    16,322.67x = 24,478.20 × 8,416.80
  4. Step 4: Simplify right side
    16,322.67x = 206,028,113.76
  5. Step 5: Solve for x
    x = 206,028,113.76/16,322.67
  6. Step 6: Final answer
    x = 12,622.21

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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.