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Finding the Fourth Proportional to 16,204.92, 22,362.42 and 9,035.53

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Solution

The fourth proportional to 16,204.92, 22,362.42 and 9,035.53 is: 12,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.92 : 22,362.42 = 9,035.53 : x
  2. Step 2: Convert to fraction form
    16,204.92/22,362.42 = 9,035.53/x
  3. Step 3: Cross multiply
    16,204.92x = 22,362.42 × 9,035.53
  4. Step 4: Simplify right side
    16,204.92x = 202,056,239.09
  5. Step 5: Solve for x
    x = 202,056,239.09/16,204.92
  6. Step 6: Final answer
    x = 12,468.82

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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.