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Finding the Fourth Proportional to 16,456.80, 24,701.40 and 8,146.20

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Solution

The fourth proportional to 16,456.80, 24,701.40 and 8,146.20 is: 12,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.80 : 24,701.40 = 8,146.20 : x
  2. Step 2: Convert to fraction form
    16,456.80/24,701.40 = 8,146.20/x
  3. Step 3: Cross multiply
    16,456.80x = 24,701.40 × 8,146.20
  4. Step 4: Simplify right side
    16,456.80x = 201,222,544.68
  5. Step 5: Solve for x
    x = 201,222,544.68/16,456.80
  6. Step 6: Final answer
    x = 12,227.32

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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.