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Finding the Fourth Proportional to 16,896.33, 23,316.24 and 9,822.21

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Solution

The fourth proportional to 16,896.33, 23,316.24 and 9,822.21 is: 13,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,896.33 : 23,316.24 = 9,822.21 : x
  2. Step 2: Convert to fraction form
    16,896.33/23,316.24 = 9,822.21/x
  3. Step 3: Cross multiply
    16,896.33x = 23,316.24 × 9,822.21
  4. Step 4: Simplify right side
    16,896.33x = 229,017,005.69
  5. Step 5: Solve for x
    x = 229,017,005.69/16,896.33
  6. Step 6: Final answer
    x = 13,554.25

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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.