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Finding the Fourth Proportional to 13,867.84, 20,801.14 and 5,102.12

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Solution

The fourth proportional to 13,867.84, 20,801.14 and 5,102.12 is: 7,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.84 : 20,801.14 = 5,102.12 : x
  2. Step 2: Convert to fraction form
    13,867.84/20,801.14 = 5,102.12/x
  3. Step 3: Cross multiply
    13,867.84x = 20,801.14 × 5,102.12
  4. Step 4: Simplify right side
    13,867.84x = 106,129,912.42
  5. Step 5: Solve for x
    x = 106,129,912.42/13,867.84
  6. Step 6: Final answer
    x = 7,652.95

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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.