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Finding the Fourth Proportional to 16,400.20, 24,603.90 and 8,084.20

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Solution

The fourth proportional to 16,400.20, 24,603.90 and 8,084.20 is: 12,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.20 : 24,603.90 = 8,084.20 : x
  2. Step 2: Convert to fraction form
    16,400.20/24,603.90 = 8,084.20/x
  3. Step 3: Cross multiply
    16,400.20x = 24,603.90 × 8,084.20
  4. Step 4: Simplify right side
    16,400.20x = 198,902,848.38
  5. Step 5: Solve for x
    x = 198,902,848.38/16,400.20
  6. Step 6: Final answer
    x = 12,128.07

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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.