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Finding the Fourth Proportional to 16,005.92, 24,006.11 and 7,238.80

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Solution

The fourth proportional to 16,005.92, 24,006.11 and 7,238.80 is: 10,856.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.92 : 24,006.11 = 7,238.80 : x
  2. Step 2: Convert to fraction form
    16,005.92/24,006.11 = 7,238.80/x
  3. Step 3: Cross multiply
    16,005.92x = 24,006.11 × 7,238.80
  4. Step 4: Simplify right side
    16,005.92x = 173,775,429.07
  5. Step 5: Solve for x
    x = 173,775,429.07/16,005.92
  6. Step 6: Final answer
    x = 10,856.95

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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.