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Finding the Fourth Proportional to 16,959.38, 23,403.94 and 9,887.16

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Solution

The fourth proportional to 16,959.38, 23,403.94 and 9,887.16 is: 13,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,959.38 : 23,403.94 = 9,887.16 : x
  2. Step 2: Convert to fraction form
    16,959.38/23,403.94 = 9,887.16/x
  3. Step 3: Cross multiply
    16,959.38x = 23,403.94 × 9,887.16
  4. Step 4: Simplify right side
    16,959.38x = 231,398,562.46
  5. Step 5: Solve for x
    x = 231,398,562.46/16,959.38
  6. Step 6: Final answer
    x = 13,644.29

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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.