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Finding the Fourth Proportional to 23,104.50, 31,884.02 and 12,494.10

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Solution

The fourth proportional to 23,104.50, 31,884.02 and 12,494.10 is: 17,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.50 : 31,884.02 = 12,494.10 : x
  2. Step 2: Convert to fraction form
    23,104.50/31,884.02 = 12,494.10/x
  3. Step 3: Cross multiply
    23,104.50x = 31,884.02 × 12,494.10
  4. Step 4: Simplify right side
    23,104.50x = 398,362,134.28
  5. Step 5: Solve for x
    x = 398,362,134.28/23,104.50
  6. Step 6: Final answer
    x = 17,241.76

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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.