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Finding the Fourth Proportional to 13,968.84, 20,947.80 and 5,201.76

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Solution

The fourth proportional to 13,968.84, 20,947.80 and 5,201.76 is: 7,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968.84 : 20,947.80 = 5,201.76 : x
  2. Step 2: Convert to fraction form
    13,968.84/20,947.80 = 5,201.76/x
  3. Step 3: Cross multiply
    13,968.84x = 20,947.80 × 5,201.76
  4. Step 4: Simplify right side
    13,968.84x = 108,965,428.13
  5. Step 5: Solve for x
    x = 108,965,428.13/13,968.84
  6. Step 6: Final answer
    x = 7,800.61

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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.