Home / 16,022-22,110.36-9,733.16

Finding the Fourth Proportional to 16,022, 22,110.36 and 9,733.16

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Solution

The fourth proportional to 16,022, 22,110.36 and 9,733.16 is: 13,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022 : 22,110.36 = 9,733.16 : x
  2. Step 2: Convert to fraction form
    16,022/22,110.36 = 9,733.16/x
  3. Step 3: Cross multiply
    16,022x = 22,110.36 × 9,733.16
  4. Step 4: Simplify right side
    16,022x = 215,203,671.54
  5. Step 5: Solve for x
    x = 215,203,671.54/16,022
  6. Step 6: Final answer
    x = 13,431.76

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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.