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Finding the Fourth Proportional to 15,805.49, 23,711.69 and 5,944.76

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Solution

The fourth proportional to 15,805.49, 23,711.69 and 5,944.76 is: 8,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.49 : 23,711.69 = 5,944.76 : x
  2. Step 2: Convert to fraction form
    15,805.49/23,711.69 = 5,944.76/x
  3. Step 3: Cross multiply
    15,805.49x = 23,711.69 × 5,944.76
  4. Step 4: Simplify right side
    15,805.49x = 140,960,306.24
  5. Step 5: Solve for x
    x = 140,960,306.24/15,805.49
  6. Step 6: Final answer
    x = 8,918.44

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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.