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Finding the Fourth Proportional to 23,167.49, 31,969.55 and 13,096.31

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Solution

The fourth proportional to 23,167.49, 31,969.55 and 13,096.31 is: 18,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.49 : 31,969.55 = 13,096.31 : x
  2. Step 2: Convert to fraction form
    23,167.49/31,969.55 = 13,096.31/x
  3. Step 3: Cross multiply
    23,167.49x = 31,969.55 × 13,096.31
  4. Step 4: Simplify right side
    23,167.49x = 418,683,010.25
  5. Step 5: Solve for x
    x = 418,683,010.25/23,167.49
  6. Step 6: Final answer
    x = 18,072.01

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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.