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Finding the Fourth Proportional to 16,887.74, 23,305.17 and 9,231.02

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Solution

The fourth proportional to 16,887.74, 23,305.17 and 9,231.02 is: 12,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,887.74 : 23,305.17 = 9,231.02 : x
  2. Step 2: Convert to fraction form
    16,887.74/23,305.17 = 9,231.02/x
  3. Step 3: Cross multiply
    16,887.74x = 23,305.17 × 9,231.02
  4. Step 4: Simplify right side
    16,887.74x = 215,130,645.34
  5. Step 5: Solve for x
    x = 215,130,645.34/16,887.74
  6. Step 6: Final answer
    x = 12,738.86

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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.