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Finding the Fourth Proportional to 13,892.62, 20,842.34 and 4,533.14

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Solution

The fourth proportional to 13,892.62, 20,842.34 and 4,533.14 is: 6,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.62 : 20,842.34 = 4,533.14 : x
  2. Step 2: Convert to fraction form
    13,892.62/20,842.34 = 4,533.14/x
  3. Step 3: Cross multiply
    13,892.62x = 20,842.34 × 4,533.14
  4. Step 4: Simplify right side
    13,892.62x = 94,481,245.15
  5. Step 5: Solve for x
    x = 94,481,245.15/13,892.62
  6. Step 6: Final answer
    x = 6,800.82

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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.