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Finding the Fourth Proportional to 23,584.01, 32,546.00 and 12,974.31

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Solution

The fourth proportional to 23,584.01, 32,546.00 and 12,974.31 is: 17,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584.01 : 32,546.00 = 12,974.31 : x
  2. Step 2: Convert to fraction form
    23,584.01/32,546.00 = 12,974.31/x
  3. Step 3: Cross multiply
    23,584.01x = 32,546.00 × 12,974.31
  4. Step 4: Simplify right side
    23,584.01x = 422,261,925.70
  5. Step 5: Solve for x
    x = 422,261,925.70/23,584.01
  6. Step 6: Final answer
    x = 17,904.59

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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.