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Finding the Fourth Proportional to 23,100.36, 31,878.68 and 12,489.96

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Solution

The fourth proportional to 23,100.36, 31,878.68 and 12,489.96 is: 17,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,100.36 : 31,878.68 = 12,489.96 : x
  2. Step 2: Convert to fraction form
    23,100.36/31,878.68 = 12,489.96/x
  3. Step 3: Cross multiply
    23,100.36x = 31,878.68 × 12,489.96
  4. Step 4: Simplify right side
    23,100.36x = 398,163,438.05
  5. Step 5: Solve for x
    x = 398,163,438.05/23,100.36
  6. Step 6: Final answer
    x = 17,236.24

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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.