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Finding the Fourth Proportional to 16,471.20, 24,706.80 and 12,097.20

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Solution

The fourth proportional to 16,471.20, 24,706.80 and 12,097.20 is: 18,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.20 : 24,706.80 = 12,097.20 : x
  2. Step 2: Convert to fraction form
    16,471.20/24,706.80 = 12,097.20/x
  3. Step 3: Cross multiply
    16,471.20x = 24,706.80 × 12,097.20
  4. Step 4: Simplify right side
    16,471.20x = 298,883,100.96
  5. Step 5: Solve for x
    x = 298,883,100.96/16,471.20
  6. Step 6: Final answer
    x = 18,145.80

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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.