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Finding the Fourth Proportional to 16,040.16, 24,056.80 and 6,180.80

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Solution

The fourth proportional to 16,040.16, 24,056.80 and 6,180.80 is: 9,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040.16 : 24,056.80 = 6,180.80 : x
  2. Step 2: Convert to fraction form
    16,040.16/24,056.80 = 6,180.80/x
  3. Step 3: Cross multiply
    16,040.16x = 24,056.80 × 6,180.80
  4. Step 4: Simplify right side
    16,040.16x = 148,690,269.44
  5. Step 5: Solve for x
    x = 148,690,269.44/16,040.16
  6. Step 6: Final answer
    x = 9,269.87

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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.