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Finding the Fourth Proportional to 16,921.77, 23,354.49 and 9,852.09

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Solution

The fourth proportional to 16,921.77, 23,354.49 and 9,852.09 is: 13,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,921.77 : 23,354.49 = 9,852.09 : x
  2. Step 2: Convert to fraction form
    16,921.77/23,354.49 = 9,852.09/x
  3. Step 3: Cross multiply
    16,921.77x = 23,354.49 × 9,852.09
  4. Step 4: Simplify right side
    16,921.77x = 230,090,537.38
  5. Step 5: Solve for x
    x = 230,090,537.38/16,921.77
  6. Step 6: Final answer
    x = 13,597.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.