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Finding the Fourth Proportional to 16,334.40, 24,469.20 and 9,400.80

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Solution

The fourth proportional to 16,334.40, 24,469.20 and 9,400.80 is: 14,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.40 : 24,469.20 = 9,400.80 : x
  2. Step 2: Convert to fraction form
    16,334.40/24,469.20 = 9,400.80/x
  3. Step 3: Cross multiply
    16,334.40x = 24,469.20 × 9,400.80
  4. Step 4: Simplify right side
    16,334.40x = 230,030,055.36
  5. Step 5: Solve for x
    x = 230,030,055.36/16,334.40
  6. Step 6: Final answer
    x = 14,082.55

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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.