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Finding the Fourth Proportional to 23,104.49, 31,884.08 and 12,494.10

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Solution

The fourth proportional to 23,104.49, 31,884.08 and 12,494.10 is: 17,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.49 : 31,884.08 = 12,494.10 : x
  2. Step 2: Convert to fraction form
    23,104.49/31,884.08 = 12,494.10/x
  3. Step 3: Cross multiply
    23,104.49x = 31,884.08 × 12,494.10
  4. Step 4: Simplify right side
    23,104.49x = 398,362,915.16
  5. Step 5: Solve for x
    x = 398,362,915.16/23,104.49
  6. Step 6: Final answer
    x = 17,241.79

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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.