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Finding the Fourth Proportional to 16,285.92, 22,462.68 and 12,466.14

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Solution

The fourth proportional to 16,285.92, 22,462.68 and 12,466.14 is: 17,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.92 : 22,462.68 = 12,466.14 : x
  2. Step 2: Convert to fraction form
    16,285.92/22,462.68 = 12,466.14/x
  3. Step 3: Cross multiply
    16,285.92x = 22,462.68 × 12,466.14
  4. Step 4: Simplify right side
    16,285.92x = 280,022,913.66
  5. Step 5: Solve for x
    x = 280,022,913.66/16,285.92
  6. Step 6: Final answer
    x = 17,194.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.