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Finding the Fourth Proportional to 13,892.60, 20,837.74 and 5,459.28

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Solution

The fourth proportional to 13,892.60, 20,837.74 and 5,459.28 is: 8,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.60 : 20,837.74 = 5,459.28 : x
  2. Step 2: Convert to fraction form
    13,892.60/20,837.74 = 5,459.28/x
  3. Step 3: Cross multiply
    13,892.60x = 20,837.74 × 5,459.28
  4. Step 4: Simplify right side
    13,892.60x = 113,759,057.23
  5. Step 5: Solve for x
    x = 113,759,057.23/13,892.60
  6. Step 6: Final answer
    x = 8,188.46

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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.