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Finding the Fourth Proportional to 23,096.64, 31,873.50 and 13,025.28

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Solution

The fourth proportional to 23,096.64, 31,873.50 and 13,025.28 is: 17,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096.64 : 31,873.50 = 13,025.28 : x
  2. Step 2: Convert to fraction form
    23,096.64/31,873.50 = 13,025.28/x
  3. Step 3: Cross multiply
    23,096.64x = 31,873.50 × 13,025.28
  4. Step 4: Simplify right side
    23,096.64x = 415,161,262.08
  5. Step 5: Solve for x
    x = 415,161,262.08/23,096.64
  6. Step 6: Final answer
    x = 17,974.96

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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.