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Finding the Fourth Proportional to 16,204.05, 22,362.75 and 9,034.47

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Solution

The fourth proportional to 16,204.05, 22,362.75 and 9,034.47 is: 12,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.05 : 22,362.75 = 9,034.47 : x
  2. Step 2: Convert to fraction form
    16,204.05/22,362.75 = 9,034.47/x
  3. Step 3: Cross multiply
    16,204.05x = 22,362.75 × 9,034.47
  4. Step 4: Simplify right side
    16,204.05x = 202,035,593.99
  5. Step 5: Solve for x
    x = 202,035,593.99/16,204.05
  6. Step 6: Final answer
    x = 12,468.22

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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.