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Finding the Fourth Proportional to 16,072.87, 24,124.88 and 7,758.73

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Solution

The fourth proportional to 16,072.87, 24,124.88 and 7,758.73 is: 11,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.87 : 24,124.88 = 7,758.73 : x
  2. Step 2: Convert to fraction form
    16,072.87/24,124.88 = 7,758.73/x
  3. Step 3: Cross multiply
    16,072.87x = 24,124.88 × 7,758.73
  4. Step 4: Simplify right side
    16,072.87x = 187,178,430.20
  5. Step 5: Solve for x
    x = 187,178,430.20/16,072.87
  6. Step 6: Final answer
    x = 11,645.61

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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.