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Finding the Fourth Proportional to 23,396.31, 32,289.39 and 13,839.39

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Solution

The fourth proportional to 23,396.31, 32,289.39 and 13,839.39 is: 19,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,396.31 : 32,289.39 = 13,839.39 : x
  2. Step 2: Convert to fraction form
    23,396.31/32,289.39 = 13,839.39/x
  3. Step 3: Cross multiply
    23,396.31x = 32,289.39 × 13,839.39
  4. Step 4: Simplify right side
    23,396.31x = 446,865,461.07
  5. Step 5: Solve for x
    x = 446,865,461.07/23,396.31
  6. Step 6: Final answer
    x = 19,099.83

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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.