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Finding the Fourth Proportional to 15,805.31, 23,711.50 and 5,944.67

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Solution

The fourth proportional to 15,805.31, 23,711.50 and 5,944.67 is: 8,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.31 : 23,711.50 = 5,944.67 : x
  2. Step 2: Convert to fraction form
    15,805.31/23,711.50 = 5,944.67/x
  3. Step 3: Cross multiply
    15,805.31x = 23,711.50 × 5,944.67
  4. Step 4: Simplify right side
    15,805.31x = 140,957,072.26
  5. Step 5: Solve for x
    x = 140,957,072.26/15,805.31
  6. Step 6: Final answer
    x = 8,918.34

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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.