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Finding the Fourth Proportional to 23,258.73, 32,097.31 and 12,648.37

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Solution

The fourth proportional to 23,258.73, 32,097.31 and 12,648.37 is: 17,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.73 : 32,097.31 = 12,648.37 : x
  2. Step 2: Convert to fraction form
    23,258.73/32,097.31 = 12,648.37/x
  3. Step 3: Cross multiply
    23,258.73x = 32,097.31 × 12,648.37
  4. Step 4: Simplify right side
    23,258.73x = 405,978,429.16
  5. Step 5: Solve for x
    x = 405,978,429.16/23,258.73
  6. Step 6: Final answer
    x = 17,454.88

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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.