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Finding the Fourth Proportional to 13,805.84, 20,709 and 7,244.84

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Solution

The fourth proportional to 13,805.84, 20,709 and 7,244.84 is: 10,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.84 : 20,709 = 7,244.84 : x
  2. Step 2: Convert to fraction form
    13,805.84/20,709 = 7,244.84/x
  3. Step 3: Cross multiply
    13,805.84x = 20,709 × 7,244.84
  4. Step 4: Simplify right side
    13,805.84x = 150,033,391.56
  5. Step 5: Solve for x
    x = 150,033,391.56/13,805.84
  6. Step 6: Final answer
    x = 10,867.39

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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.