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Finding the Fourth Proportional to 16,194.32, 24,295.20 and 8,401.40

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Solution

The fourth proportional to 16,194.32, 24,295.20 and 8,401.40 is: 12,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.32 : 24,295.20 = 8,401.40 : x
  2. Step 2: Convert to fraction form
    16,194.32/24,295.20 = 8,401.40/x
  3. Step 3: Cross multiply
    16,194.32x = 24,295.20 × 8,401.40
  4. Step 4: Simplify right side
    16,194.32x = 204,113,693.28
  5. Step 5: Solve for x
    x = 204,113,693.28/16,194.32
  6. Step 6: Final answer
    x = 12,604.03

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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.