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Finding the Fourth Proportional to 23,097.96, 31,873.47 and 13,025.88

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Solution

The fourth proportional to 23,097.96, 31,873.47 and 13,025.88 is: 17,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.96 : 31,873.47 = 13,025.88 : x
  2. Step 2: Convert to fraction form
    23,097.96/31,873.47 = 13,025.88/x
  3. Step 3: Cross multiply
    23,097.96x = 31,873.47 × 13,025.88
  4. Step 4: Simplify right side
    23,097.96x = 415,179,995.40
  5. Step 5: Solve for x
    x = 415,179,995.40/23,097.96
  6. Step 6: Final answer
    x = 17,974.75

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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.