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Finding the Fourth Proportional to 13,866.84, 20,799.60 and 5,101.12

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Solution

The fourth proportional to 13,866.84, 20,799.60 and 5,101.12 is: 7,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.84 : 20,799.60 = 5,101.12 : x
  2. Step 2: Convert to fraction form
    13,866.84/20,799.60 = 5,101.12/x
  3. Step 3: Cross multiply
    13,866.84x = 20,799.60 × 5,101.12
  4. Step 4: Simplify right side
    13,866.84x = 106,101,255.55
  5. Step 5: Solve for x
    x = 106,101,255.55/13,866.84
  6. Step 6: Final answer
    x = 7,651.44

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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.