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Finding the Fourth Proportional to 15,971.68, 23,962.14 and 6,609.97

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Solution

The fourth proportional to 15,971.68, 23,962.14 and 6,609.97 is: 9,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.68 : 23,962.14 = 6,609.97 : x
  2. Step 2: Convert to fraction form
    15,971.68/23,962.14 = 6,609.97/x
  3. Step 3: Cross multiply
    15,971.68x = 23,962.14 × 6,609.97
  4. Step 4: Simplify right side
    15,971.68x = 158,389,026.54
  5. Step 5: Solve for x
    x = 158,389,026.54/15,971.68
  6. Step 6: Final answer
    x = 9,916.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.