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Finding the Fourth Proportional to 16,997.47, 23,456.35 and 9,443.81

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Solution

The fourth proportional to 16,997.47, 23,456.35 and 9,443.81 is: 13,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.47 : 23,456.35 = 9,443.81 : x
  2. Step 2: Convert to fraction form
    16,997.47/23,456.35 = 9,443.81/x
  3. Step 3: Cross multiply
    16,997.47x = 23,456.35 × 9,443.81
  4. Step 4: Simplify right side
    16,997.47x = 221,517,383.14
  5. Step 5: Solve for x
    x = 221,517,383.14/16,997.47
  6. Step 6: Final answer
    x = 13,032.38

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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.