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Finding the Fourth Proportional to 23,167.65, 31,971.60 and 13,096.20

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Solution

The fourth proportional to 23,167.65, 31,971.60 and 13,096.20 is: 18,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.65 : 31,971.60 = 13,096.20 : x
  2. Step 2: Convert to fraction form
    23,167.65/31,971.60 = 13,096.20/x
  3. Step 3: Cross multiply
    23,167.65x = 31,971.60 × 13,096.20
  4. Step 4: Simplify right side
    23,167.65x = 418,706,467.92
  5. Step 5: Solve for x
    x = 418,706,467.92/23,167.65
  6. Step 6: Final answer
    x = 18,072.89

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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.