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Finding the Fourth Proportional to 23,097.56, 31,874.20 and 13,025.82

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Solution

The fourth proportional to 23,097.56, 31,874.20 and 13,025.82 is: 17,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.56 : 31,874.20 = 13,025.82 : x
  2. Step 2: Convert to fraction form
    23,097.56/31,874.20 = 13,025.82/x
  3. Step 3: Cross multiply
    23,097.56x = 31,874.20 × 13,025.82
  4. Step 4: Simplify right side
    23,097.56x = 415,187,591.84
  5. Step 5: Solve for x
    x = 415,187,591.84/23,097.56
  6. Step 6: Final answer
    x = 17,975.39

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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.