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Finding the Fourth Proportional to 16,245.40, 24,335.70 and 9,311.80

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Solution

The fourth proportional to 16,245.40, 24,335.70 and 9,311.80 is: 13,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.40 : 24,335.70 = 9,311.80 : x
  2. Step 2: Convert to fraction form
    16,245.40/24,335.70 = 9,311.80/x
  3. Step 3: Cross multiply
    16,245.40x = 24,335.70 × 9,311.80
  4. Step 4: Simplify right side
    16,245.40x = 226,609,171.26
  5. Step 5: Solve for x
    x = 226,609,171.26/16,245.40
  6. Step 6: Final answer
    x = 13,949.13

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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.