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Finding the Fourth Proportional to 16,188.66, 24,285.83 and 7,424.46

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Solution

The fourth proportional to 16,188.66, 24,285.83 and 7,424.46 is: 11,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188.66 : 24,285.83 = 7,424.46 : x
  2. Step 2: Convert to fraction form
    16,188.66/24,285.83 = 7,424.46/x
  3. Step 3: Cross multiply
    16,188.66x = 24,285.83 × 7,424.46
  4. Step 4: Simplify right side
    16,188.66x = 180,309,136.28
  5. Step 5: Solve for x
    x = 180,309,136.28/16,188.66
  6. Step 6: Final answer
    x = 11,137.99

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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.