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Finding the Fourth Proportional to 16,204.57, 22,362.49 and 9,035.12

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Solution

The fourth proportional to 16,204.57, 22,362.49 and 9,035.12 is: 12,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.57 : 22,362.49 = 9,035.12 : x
  2. Step 2: Convert to fraction form
    16,204.57/22,362.49 = 9,035.12/x
  3. Step 3: Cross multiply
    16,204.57x = 22,362.49 × 9,035.12
  4. Step 4: Simplify right side
    16,204.57x = 202,047,797.66
  5. Step 5: Solve for x
    x = 202,047,797.66/16,204.57
  6. Step 6: Final answer
    x = 12,468.57

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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.