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Finding the Fourth Proportional to 23,405.31, 32,301.56 and 12,796.54

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Solution

The fourth proportional to 23,405.31, 32,301.56 and 12,796.54 is: 17,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.31 : 32,301.56 = 12,796.54 : x
  2. Step 2: Convert to fraction form
    23,405.31/32,301.56 = 12,796.54/x
  3. Step 3: Cross multiply
    23,405.31x = 32,301.56 × 12,796.54
  4. Step 4: Simplify right side
    23,405.31x = 413,348,155.84
  5. Step 5: Solve for x
    x = 413,348,155.84/23,405.31
  6. Step 6: Final answer
    x = 17,660.44

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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.