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Finding the Fourth Proportional to 16,006.19, 23,992.88 and 6,142.82

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Solution

The fourth proportional to 16,006.19, 23,992.88 and 6,142.82 is: 9,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.19 : 23,992.88 = 6,142.82 : x
  2. Step 2: Convert to fraction form
    16,006.19/23,992.88 = 6,142.82/x
  3. Step 3: Cross multiply
    16,006.19x = 23,992.88 × 6,142.82
  4. Step 4: Simplify right side
    16,006.19x = 147,383,792.44
  5. Step 5: Solve for x
    x = 147,383,792.44/16,006.19
  6. Step 6: Final answer
    x = 9,207.93

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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.