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Finding the Fourth Proportional to 17,149.75, 23,669.69 and 10,076.17

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Solution

The fourth proportional to 17,149.75, 23,669.69 and 10,076.17 is: 13,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.75 : 23,669.69 = 10,076.17 : x
  2. Step 2: Convert to fraction form
    17,149.75/23,669.69 = 10,076.17/x
  3. Step 3: Cross multiply
    17,149.75x = 23,669.69 × 10,076.17
  4. Step 4: Simplify right side
    17,149.75x = 238,499,820.29
  5. Step 5: Solve for x
    x = 238,499,820.29/17,149.75
  6. Step 6: Final answer
    x = 13,906.90

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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.