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Finding the Fourth Proportional to 23,115.92, 31,900.23 and 12,505.76

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Solution

The fourth proportional to 23,115.92, 31,900.23 and 12,505.76 is: 17,258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.92 : 31,900.23 = 12,505.76 : x
  2. Step 2: Convert to fraction form
    23,115.92/31,900.23 = 12,505.76/x
  3. Step 3: Cross multiply
    23,115.92x = 31,900.23 × 12,505.76
  4. Step 4: Simplify right side
    23,115.92x = 398,936,620.32
  5. Step 5: Solve for x
    x = 398,936,620.32/23,115.92
  6. Step 6: Final answer
    x = 17,258.09

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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.