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Finding the Fourth Proportional to 16,230.64, 22,399.32 and 9,942.16

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Solution

The fourth proportional to 16,230.64, 22,399.32 and 9,942.16 is: 13,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.64 : 22,399.32 = 9,942.16 : x
  2. Step 2: Convert to fraction form
    16,230.64/22,399.32 = 9,942.16/x
  3. Step 3: Cross multiply
    16,230.64x = 22,399.32 × 9,942.16
  4. Step 4: Simplify right side
    16,230.64x = 222,697,623.33
  5. Step 5: Solve for x
    x = 222,697,623.33/16,230.64
  6. Step 6: Final answer
    x = 13,720.82

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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.